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Finding the Third Proportional to 147,874.50 and 320,658.75

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Solution

The third proportional to 147,874.50 and 320,658.75 is: 695,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874.50 : 320,658.75 = 320,658.75 : x
  2. Step 2: Convert to fraction form
    147,874.50/320,658.75 = 320,658.75/x
  3. Step 3: Cross multiply
    147,874.50x = 320,658.75 × 320,658.75
  4. Step 4: Simplify right side
    147,874.50x = 102,822,033,951.56
  5. Step 5: Solve for x
    x = 102,822,033,951.56/147,874.50
  6. Step 6: Final answer
    x = 695,333.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.