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Finding the Third Proportional to 343,690 and 754,624

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Solution

The third proportional to 343,690 and 754,624 is: 1,656,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,690 : 754,624 = 754,624 : x
  2. Step 2: Convert to fraction form
    343,690/754,624 = 754,624/x
  3. Step 3: Cross multiply
    343,690x = 754,624 × 754,624
  4. Step 4: Simplify right side
    343,690x = 569,457,381,376
  5. Step 5: Solve for x
    x = 569,457,381,376/343,690
  6. Step 6: Final answer
    x = 1,656,892.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.