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Finding the Third Proportional to 10,208,130.75 and 22,428,846

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Solution

The third proportional to 10,208,130.75 and 22,428,846 is: 49,279,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208,130.75 : 22,428,846 = 22,428,846 : x
  2. Step 2: Convert to fraction form
    10,208,130.75/22,428,846 = 22,428,846/x
  3. Step 3: Cross multiply
    10,208,130.75x = 22,428,846 × 22,428,846
  4. Step 4: Simplify right side
    10,208,130.75x = 503,053,132,891,716
  5. Step 5: Solve for x
    x = 503,053,132,891,716/10,208,130.75
  6. Step 6: Final answer
    x = 49,279,652.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.