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Finding the Third Proportional to 296,279 and 451,710

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Solution

The third proportional to 296,279 and 451,710 is: 688,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,279 : 451,710 = 451,710 : x
  2. Step 2: Convert to fraction form
    296,279/451,710 = 451,710/x
  3. Step 3: Cross multiply
    296,279x = 451,710 × 451,710
  4. Step 4: Simplify right side
    296,279x = 204,041,924,100
  5. Step 5: Solve for x
    x = 204,041,924,100/296,279
  6. Step 6: Final answer
    x = 688,681.70

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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.