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Finding the Third Proportional to 140,127 and 213,431

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Solution

The third proportional to 140,127 and 213,431 is: 325,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,127 : 213,431 = 213,431 : x
  2. Step 2: Convert to fraction form
    140,127/213,431 = 213,431/x
  3. Step 3: Cross multiply
    140,127x = 213,431 × 213,431
  4. Step 4: Simplify right side
    140,127x = 45,552,791,761
  5. Step 5: Solve for x
    x = 45,552,791,761/140,127
  6. Step 6: Final answer
    x = 325,082.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.