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Finding the Third Proportional to 21,565.13 and 47,280.38

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Solution

The third proportional to 21,565.13 and 47,280.38 is: 103,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.13 : 47,280.38 = 47,280.38 : x
  2. Step 2: Convert to fraction form
    21,565.13/47,280.38 = 47,280.38/x
  3. Step 3: Cross multiply
    21,565.13x = 47,280.38 × 47,280.38
  4. Step 4: Simplify right side
    21,565.13x = 2,235,433,860.14
  5. Step 5: Solve for x
    x = 2,235,433,860.14/21,565.13
  6. Step 6: Final answer
    x = 103,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.