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Finding the Third Proportional to 100,398 and 147,243

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Solution

The third proportional to 100,398 and 147,243 is: 215,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398 : 147,243 = 147,243 : x
  2. Step 2: Convert to fraction form
    100,398/147,243 = 147,243/x
  3. Step 3: Cross multiply
    100,398x = 147,243 × 147,243
  4. Step 4: Simplify right side
    100,398x = 21,680,501,049
  5. Step 5: Solve for x
    x = 21,680,501,049/100,398
  6. Step 6: Final answer
    x = 215,945.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.