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Finding the Third Proportional to 13,553,757 and 20,648,422.13

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Solution

The third proportional to 13,553,757 and 20,648,422.13 is: 31,456,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553,757 : 20,648,422.13 = 20,648,422.13 : x
  2. Step 2: Convert to fraction form
    13,553,757/20,648,422.13 = 20,648,422.13/x
  3. Step 3: Cross multiply
    13,553,757x = 20,648,422.13 × 20,648,422.13
  4. Step 4: Simplify right side
    13,553,757x = 426,357,336,252,189.50
  5. Step 5: Solve for x
    x = 426,357,336,252,189.50/13,553,757
  6. Step 6: Final answer
    x = 31,456,764.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.