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Finding the Third Proportional to 80,217 and 127,129.50

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Solution

The third proportional to 80,217 and 127,129.50 is: 201,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,217 : 127,129.50 = 127,129.50 : x
  2. Step 2: Convert to fraction form
    80,217/127,129.50 = 127,129.50/x
  3. Step 3: Cross multiply
    80,217x = 127,129.50 × 127,129.50
  4. Step 4: Simplify right side
    80,217x = 16,161,909,770.25
  5. Step 5: Solve for x
    x = 16,161,909,770.25/80,217
  6. Step 6: Final answer
    x = 201,477.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.