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Finding the Third Proportional to 486,837 and 748,764

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Solution

The third proportional to 486,837 and 748,764 is: 1,151,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,837 : 748,764 = 748,764 : x
  2. Step 2: Convert to fraction form
    486,837/748,764 = 748,764/x
  3. Step 3: Cross multiply
    486,837x = 748,764 × 748,764
  4. Step 4: Simplify right side
    486,837x = 560,647,527,696
  5. Step 5: Solve for x
    x = 560,647,527,696/486,837
  6. Step 6: Final answer
    x = 1,151,612.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.