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Finding the Third Proportional to 286,690,192 and 442,709,215

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Solution

The third proportional to 286,690,192 and 442,709,215 is: 683,634,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,192 : 442,709,215 = 442,709,215 : x
  2. Step 2: Convert to fraction form
    286,690,192/442,709,215 = 442,709,215/x
  3. Step 3: Cross multiply
    286,690,192x = 442,709,215 × 442,709,215
  4. Step 4: Simplify right side
    286,690,192x = 195,991,449,045,916,224
  5. Step 5: Solve for x
    x = 195,991,449,045,916,224/286,690,192
  6. Step 6: Final answer
    x = 683,634,998.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.