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Finding the Third Proportional to 492,538 and 748,738

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Solution

The third proportional to 492,538 and 748,738 is: 1,138,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,538 : 748,738 = 748,738 : x
  2. Step 2: Convert to fraction form
    492,538/748,738 = 748,738/x
  3. Step 3: Cross multiply
    492,538x = 748,738 × 748,738
  4. Step 4: Simplify right side
    492,538x = 560,608,592,644
  5. Step 5: Solve for x
    x = 560,608,592,644/492,538
  6. Step 6: Final answer
    x = 1,138,203.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.