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Finding the Third Proportional to 491,117 and 738,503

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Solution

The third proportional to 491,117 and 738,503 is: 1,110,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,117 : 738,503 = 738,503 : x
  2. Step 2: Convert to fraction form
    491,117/738,503 = 738,503/x
  3. Step 3: Cross multiply
    491,117x = 738,503 × 738,503
  4. Step 4: Simplify right side
    491,117x = 545,386,681,009
  5. Step 5: Solve for x
    x = 545,386,681,009/491,117
  6. Step 6: Final answer
    x = 1,110,502.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.