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Finding the Third Proportional to 21,000.52 and 45,340.86

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Solution

The third proportional to 21,000.52 and 45,340.86 is: 97,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.52 : 45,340.86 = 45,340.86 : x
  2. Step 2: Convert to fraction form
    21,000.52/45,340.86 = 45,340.86/x
  3. Step 3: Cross multiply
    21,000.52x = 45,340.86 × 45,340.86
  4. Step 4: Simplify right side
    21,000.52x = 2,055,793,351.75
  5. Step 5: Solve for x
    x = 2,055,793,351.75/21,000.52
  6. Step 6: Final answer
    x = 97,892.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.