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Finding the Third Proportional to 100,854 and 147,489

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Solution

The third proportional to 100,854 and 147,489 is: 215,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,854 : 147,489 = 147,489 : x
  2. Step 2: Convert to fraction form
    100,854/147,489 = 147,489/x
  3. Step 3: Cross multiply
    100,854x = 147,489 × 147,489
  4. Step 4: Simplify right side
    100,854x = 21,753,005,121
  5. Step 5: Solve for x
    x = 21,753,005,121/100,854
  6. Step 6: Final answer
    x = 215,688.08

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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.