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Finding the Third Proportional to 438,140 and 665,409

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Solution

The third proportional to 438,140 and 665,409 is: 1,010,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,140 : 665,409 = 665,409 : x
  2. Step 2: Convert to fraction form
    438,140/665,409 = 665,409/x
  3. Step 3: Cross multiply
    438,140x = 665,409 × 665,409
  4. Step 4: Simplify right side
    438,140x = 442,769,137,281
  5. Step 5: Solve for x
    x = 442,769,137,281/438,140
  6. Step 6: Final answer
    x = 1,010,565.43

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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.