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Finding the Third Proportional to 274,128 and 437,432

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Solution

The third proportional to 274,128 and 437,432 is: 698,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,128 : 437,432 = 437,432 : x
  2. Step 2: Convert to fraction form
    274,128/437,432 = 437,432/x
  3. Step 3: Cross multiply
    274,128x = 437,432 × 437,432
  4. Step 4: Simplify right side
    274,128x = 191,346,754,624
  5. Step 5: Solve for x
    x = 191,346,754,624/274,128
  6. Step 6: Final answer
    x = 698,019.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.