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Finding the Third Proportional to 488,331 and 756,039

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Solution

The third proportional to 488,331 and 756,039 is: 1,170,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,331 : 756,039 = 756,039 : x
  2. Step 2: Convert to fraction form
    488,331/756,039 = 756,039/x
  3. Step 3: Cross multiply
    488,331x = 756,039 × 756,039
  4. Step 4: Simplify right side
    488,331x = 571,594,969,521
  5. Step 5: Solve for x
    x = 571,594,969,521/488,331
  6. Step 6: Final answer
    x = 1,170,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.