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Finding the Third Proportional to 71,439.19 and 152,719.88

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Solution

The third proportional to 71,439.19 and 152,719.88 is: 326,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,439.19 : 152,719.88 = 152,719.88 : x
  2. Step 2: Convert to fraction form
    71,439.19/152,719.88 = 152,719.88/x
  3. Step 3: Cross multiply
    71,439.19x = 152,719.88 × 152,719.88
  4. Step 4: Simplify right side
    71,439.19x = 23,323,360,220.02
  5. Step 5: Solve for x
    x = 23,323,360,220.02/71,439.19
  6. Step 6: Final answer
    x = 326,478.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.