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Finding the Third Proportional to 318,454 and 497,060

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Solution

The third proportional to 318,454 and 497,060 is: 775,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,454 : 497,060 = 497,060 : x
  2. Step 2: Convert to fraction form
    318,454/497,060 = 497,060/x
  3. Step 3: Cross multiply
    318,454x = 497,060 × 497,060
  4. Step 4: Simplify right side
    318,454x = 247,068,643,600
  5. Step 5: Solve for x
    x = 247,068,643,600/318,454
  6. Step 6: Final answer
    x = 775,837.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.