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Finding the Third Proportional to 486,988 and 748,950

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Solution

The third proportional to 486,988 and 748,950 is: 1,151,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,988 : 748,950 = 748,950 : x
  2. Step 2: Convert to fraction form
    486,988/748,950 = 748,950/x
  3. Step 3: Cross multiply
    486,988x = 748,950 × 748,950
  4. Step 4: Simplify right side
    486,988x = 560,926,102,500
  5. Step 5: Solve for x
    x = 560,926,102,500/486,988
  6. Step 6: Final answer
    x = 1,151,827.36

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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.