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Finding the Third Proportional to 80,220 and 127,134.50

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Solution

The third proportional to 80,220 and 127,134.50 is: 201,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220 : 127,134.50 = 127,134.50 : x
  2. Step 2: Convert to fraction form
    80,220/127,134.50 = 127,134.50/x
  3. Step 3: Cross multiply
    80,220x = 127,134.50 × 127,134.50
  4. Step 4: Simplify right side
    80,220x = 16,163,181,090.25
  5. Step 5: Solve for x
    x = 16,163,181,090.25/80,220
  6. Step 6: Final answer
    x = 201,485.68

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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.