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Finding the Third Proportional to 101,431 and 157,678

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Solution

The third proportional to 101,431 and 157,678 is: 245,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431 : 157,678 = 157,678 : x
  2. Step 2: Convert to fraction form
    101,431/157,678 = 157,678/x
  3. Step 3: Cross multiply
    101,431x = 157,678 × 157,678
  4. Step 4: Simplify right side
    101,431x = 24,862,351,684
  5. Step 5: Solve for x
    x = 24,862,351,684/101,431
  6. Step 6: Final answer
    x = 245,115.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.