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Finding the Third Proportional to 80,487.58 and 127,420.51

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Solution

The third proportional to 80,487.58 and 127,420.51 is: 201,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,487.58 : 127,420.51 = 127,420.51 : x
  2. Step 2: Convert to fraction form
    80,487.58/127,420.51 = 127,420.51/x
  3. Step 3: Cross multiply
    80,487.58x = 127,420.51 × 127,420.51
  4. Step 4: Simplify right side
    80,487.58x = 16,235,987,553.27
  5. Step 5: Solve for x
    x = 16,235,987,553.27/80,487.58
  6. Step 6: Final answer
    x = 201,720.41

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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.