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Finding the Third Proportional to 438,016 and 575,136

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Solution

The third proportional to 438,016 and 575,136 is: 755,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,016 : 575,136 = 575,136 : x
  2. Step 2: Convert to fraction form
    438,016/575,136 = 575,136/x
  3. Step 3: Cross multiply
    438,016x = 575,136 × 575,136
  4. Step 4: Simplify right side
    438,016x = 330,781,418,496
  5. Step 5: Solve for x
    x = 330,781,418,496/438,016
  6. Step 6: Final answer
    x = 755,181.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.