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Finding the Third Proportional to 100,438 and 147,062

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Solution

The third proportional to 100,438 and 147,062 is: 215,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438 : 147,062 = 147,062 : x
  2. Step 2: Convert to fraction form
    100,438/147,062 = 147,062/x
  3. Step 3: Cross multiply
    100,438x = 147,062 × 147,062
  4. Step 4: Simplify right side
    100,438x = 21,627,231,844
  5. Step 5: Solve for x
    x = 21,627,231,844/100,438
  6. Step 6: Final answer
    x = 215,329.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.