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Finding the Third Proportional to 455,438 and 731,757

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Solution

The third proportional to 455,438 and 731,757 is: 1,175,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,438 : 731,757 = 731,757 : x
  2. Step 2: Convert to fraction form
    455,438/731,757 = 731,757/x
  3. Step 3: Cross multiply
    455,438x = 731,757 × 731,757
  4. Step 4: Simplify right side
    455,438x = 535,468,307,049
  5. Step 5: Solve for x
    x = 535,468,307,049/455,438
  6. Step 6: Final answer
    x = 1,175,721.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.