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Finding the Third Proportional to 385,776 and 613,872

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Solution

The third proportional to 385,776 and 613,872 is: 976,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,776 : 613,872 = 613,872 : x
  2. Step 2: Convert to fraction form
    385,776/613,872 = 613,872/x
  3. Step 3: Cross multiply
    385,776x = 613,872 × 613,872
  4. Step 4: Simplify right side
    385,776x = 376,838,832,384
  5. Step 5: Solve for x
    x = 376,838,832,384/385,776
  6. Step 6: Final answer
    x = 976,833.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.