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Finding the Third Proportional to 156.80 and 424.13

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Solution

The third proportional to 156.80 and 424.13 is: 1,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 424.13 = 424.13 : x
  2. Step 2: Convert to fraction form
    156.80/424.13 = 424.13/x
  3. Step 3: Cross multiply
    156.80x = 424.13 × 424.13
  4. Step 4: Simplify right side
    156.80x = 179,882.02
  5. Step 5: Solve for x
    x = 179,882.02/156.80
  6. Step 6: Final answer
    x = 1,147.23

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.