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Finding the Third Proportional to 101,728 and 157,382

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Solution

The third proportional to 101,728 and 157,382 is: 243,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,728 : 157,382 = 157,382 : x
  2. Step 2: Convert to fraction form
    101,728/157,382 = 157,382/x
  3. Step 3: Cross multiply
    101,728x = 157,382 × 157,382
  4. Step 4: Simplify right side
    101,728x = 24,769,093,924
  5. Step 5: Solve for x
    x = 24,769,093,924/101,728
  6. Step 6: Final answer
    x = 243,483.54

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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.