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Finding the Third Proportional to 488,988 and 748,011

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Solution

The third proportional to 488,988 and 748,011 is: 1,144,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,988 : 748,011 = 748,011 : x
  2. Step 2: Convert to fraction form
    488,988/748,011 = 748,011/x
  3. Step 3: Cross multiply
    488,988x = 748,011 × 748,011
  4. Step 4: Simplify right side
    488,988x = 559,520,456,121
  5. Step 5: Solve for x
    x = 559,520,456,121/488,988
  6. Step 6: Final answer
    x = 1,144,241.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.