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Finding the Third Proportional to 129,154 and 193,862

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Solution

The third proportional to 129,154 and 193,862 is: 290,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,154 : 193,862 = 193,862 : x
  2. Step 2: Convert to fraction form
    129,154/193,862 = 193,862/x
  3. Step 3: Cross multiply
    129,154x = 193,862 × 193,862
  4. Step 4: Simplify right side
    129,154x = 37,582,475,044
  5. Step 5: Solve for x
    x = 37,582,475,044/129,154
  6. Step 6: Final answer
    x = 290,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.