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Finding the Third Proportional to 438,142 and 665,412

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Solution

The third proportional to 438,142 and 665,412 is: 1,010,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,142 : 665,412 = 665,412 : x
  2. Step 2: Convert to fraction form
    438,142/665,412 = 665,412/x
  3. Step 3: Cross multiply
    438,142x = 665,412 × 665,412
  4. Step 4: Simplify right side
    438,142x = 442,773,129,744
  5. Step 5: Solve for x
    x = 442,773,129,744/438,142
  6. Step 6: Final answer
    x = 1,010,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.