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Finding the Third Proportional to 491,217 and 738,648

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Solution

The third proportional to 491,217 and 738,648 is: 1,110,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,217 : 738,648 = 738,648 : x
  2. Step 2: Convert to fraction form
    491,217/738,648 = 738,648/x
  3. Step 3: Cross multiply
    491,217x = 738,648 × 738,648
  4. Step 4: Simplify right side
    491,217x = 545,600,867,904
  5. Step 5: Solve for x
    x = 545,600,867,904/491,217
  6. Step 6: Final answer
    x = 1,110,712.51

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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.