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Finding the Third Proportional to 488,918 and 718,744

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Solution

The third proportional to 488,918 and 718,744 is: 1,056,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,918 : 718,744 = 718,744 : x
  2. Step 2: Convert to fraction form
    488,918/718,744 = 718,744/x
  3. Step 3: Cross multiply
    488,918x = 718,744 × 718,744
  4. Step 4: Simplify right side
    488,918x = 516,592,937,536
  5. Step 5: Solve for x
    x = 516,592,937,536/488,918
  6. Step 6: Final answer
    x = 1,056,604.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.