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Finding the Third Proportional to 4,221,747 and 9,217,691

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Solution

The third proportional to 4,221,747 and 9,217,691 is: 20,125,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,747 : 9,217,691 = 9,217,691 : x
  2. Step 2: Convert to fraction form
    4,221,747/9,217,691 = 9,217,691/x
  3. Step 3: Cross multiply
    4,221,747x = 9,217,691 × 9,217,691
  4. Step 4: Simplify right side
    4,221,747x = 84,965,827,371,481
  5. Step 5: Solve for x
    x = 84,965,827,371,481/4,221,747
  6. Step 6: Final answer
    x = 20,125,750.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.