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Finding the Third Proportional to 147,720.38 and 215,122.50

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Solution

The third proportional to 147,720.38 and 215,122.50 is: 313,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,720.38 : 215,122.50 = 215,122.50 : x
  2. Step 2: Convert to fraction form
    147,720.38/215,122.50 = 215,122.50/x
  3. Step 3: Cross multiply
    147,720.38x = 215,122.50 × 215,122.50
  4. Step 4: Simplify right side
    147,720.38x = 46,277,690,006.25
  5. Step 5: Solve for x
    x = 46,277,690,006.25/147,720.38
  6. Step 6: Final answer
    x = 313,278.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.