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Finding the Third Proportional to 424,733,926,172 and 910,050,731,036

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Solution

The third proportional to 424,733,926,172 and 910,050,731,036 is: 1,949,908,594,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,733,926,172 : 910,050,731,036 = 910,050,731,036 : x
  2. Step 2: Convert to fraction form
    424,733,926,172/910,050,731,036 = 910,050,731,036/x
  3. Step 3: Cross multiply
    424,733,926,172x = 910,050,731,036 × 910,050,731,036
  4. Step 4: Simplify right side
    424,733,926,172x = 828,192,333,059,157,961,736,192
  5. Step 5: Solve for x
    x = 828,192,333,059,157,961,736,192/424,733,926,172
  6. Step 6: Final answer
    x = 1,949,908,594,595.70

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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.