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Finding the Third Proportional to 424,733,926,158 and 910,050,731,010

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Solution

The third proportional to 424,733,926,158 and 910,050,731,010 is: 1,949,908,594,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,733,926,158 : 910,050,731,010 = 910,050,731,010 : x
  2. Step 2: Convert to fraction form
    424,733,926,158/910,050,731,010 = 910,050,731,010/x
  3. Step 3: Cross multiply
    424,733,926,158x = 910,050,731,010 × 910,050,731,010
  4. Step 4: Simplify right side
    424,733,926,158x = 828,192,333,011,835,340,980,224
  5. Step 5: Solve for x
    x = 828,192,333,011,835,340,980,224/424,733,926,158
  6. Step 6: Final answer
    x = 1,949,908,594,548.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.