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Finding the Third Proportional to 354,754 and 521,757

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Solution

The third proportional to 354,754 and 521,757 is: 767,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,754 : 521,757 = 521,757 : x
  2. Step 2: Convert to fraction form
    354,754/521,757 = 521,757/x
  3. Step 3: Cross multiply
    354,754x = 521,757 × 521,757
  4. Step 4: Simplify right side
    354,754x = 272,230,367,049
  5. Step 5: Solve for x
    x = 272,230,367,049/354,754
  6. Step 6: Final answer
    x = 767,377.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.