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Finding the Third Proportional to 80,688 and 125,347.50

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Solution

The third proportional to 80,688 and 125,347.50 is: 194,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,688 : 125,347.50 = 125,347.50 : x
  2. Step 2: Convert to fraction form
    80,688/125,347.50 = 125,347.50/x
  3. Step 3: Cross multiply
    80,688x = 125,347.50 × 125,347.50
  4. Step 4: Simplify right side
    80,688x = 15,711,995,756.25
  5. Step 5: Solve for x
    x = 15,711,995,756.25/80,688
  6. Step 6: Final answer
    x = 194,725.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.