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Finding the Third Proportional to 101,480 and 157,742

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Solution

The third proportional to 101,480 and 157,742 is: 245,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,480 : 157,742 = 157,742 : x
  2. Step 2: Convert to fraction form
    101,480/157,742 = 157,742/x
  3. Step 3: Cross multiply
    101,480x = 157,742 × 157,742
  4. Step 4: Simplify right side
    101,480x = 24,882,538,564
  5. Step 5: Solve for x
    x = 24,882,538,564/101,480
  6. Step 6: Final answer
    x = 245,196.48

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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.