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Finding the Third Proportional to 4,221,829.50 and 9,217,857

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Solution

The third proportional to 4,221,829.50 and 9,217,857 is: 20,126,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,829.50 : 9,217,857 = 9,217,857 : x
  2. Step 2: Convert to fraction form
    4,221,829.50/9,217,857 = 9,217,857/x
  3. Step 3: Cross multiply
    4,221,829.50x = 9,217,857 × 9,217,857
  4. Step 4: Simplify right side
    4,221,829.50x = 84,968,887,672,449
  5. Step 5: Solve for x
    x = 84,968,887,672,449/4,221,829.50
  6. Step 6: Final answer
    x = 20,126,082.23

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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.