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Finding the Third Proportional to 146,191.50 and 320,302.13

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Solution

The third proportional to 146,191.50 and 320,302.13 is: 701,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,191.50 : 320,302.13 = 320,302.13 : x
  2. Step 2: Convert to fraction form
    146,191.50/320,302.13 = 320,302.13/x
  3. Step 3: Cross multiply
    146,191.50x = 320,302.13 × 320,302.13
  4. Step 4: Simplify right side
    146,191.50x = 102,593,451,279.52
  5. Step 5: Solve for x
    x = 102,593,451,279.52/146,191.50
  6. Step 6: Final answer
    x = 701,774.39

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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.