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Finding the Third Proportional to 4,478,080 and 9,663,744

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Solution

The third proportional to 4,478,080 and 9,663,744 is: 20,854,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478,080 : 9,663,744 = 9,663,744 : x
  2. Step 2: Convert to fraction form
    4,478,080/9,663,744 = 9,663,744/x
  3. Step 3: Cross multiply
    4,478,080x = 9,663,744 × 9,663,744
  4. Step 4: Simplify right side
    4,478,080x = 93,387,948,097,536
  5. Step 5: Solve for x
    x = 93,387,948,097,536/4,478,080
  6. Step 6: Final answer
    x = 20,854,461.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.