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Finding the Third Proportional to 96,127 and 144,142

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Solution

The third proportional to 96,127 and 144,142 is: 216,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,127 : 144,142 = 144,142 : x
  2. Step 2: Convert to fraction form
    96,127/144,142 = 144,142/x
  3. Step 3: Cross multiply
    96,127x = 144,142 × 144,142
  4. Step 4: Simplify right side
    96,127x = 20,776,916,164
  5. Step 5: Solve for x
    x = 20,776,916,164/96,127
  6. Step 6: Final answer
    x = 216,140.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.