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Finding the Third Proportional to 71,423.34 and 148,758.09

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Solution

The third proportional to 71,423.34 and 148,758.09 is: 309,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,423.34 : 148,758.09 = 148,758.09 : x
  2. Step 2: Convert to fraction form
    71,423.34/148,758.09 = 148,758.09/x
  3. Step 3: Cross multiply
    71,423.34x = 148,758.09 × 148,758.09
  4. Step 4: Simplify right side
    71,423.34x = 22,128,970,456.13
  5. Step 5: Solve for x
    x = 22,128,970,456.13/71,423.34
  6. Step 6: Final answer
    x = 309,828.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.