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Finding the Third Proportional to 422,154 and 861,534

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Solution

The third proportional to 422,154 and 861,534 is: 1,758,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,154 : 861,534 = 861,534 : x
  2. Step 2: Convert to fraction form
    422,154/861,534 = 861,534/x
  3. Step 3: Cross multiply
    422,154x = 861,534 × 861,534
  4. Step 4: Simplify right side
    422,154x = 742,240,833,156
  5. Step 5: Solve for x
    x = 742,240,833,156/422,154
  6. Step 6: Final answer
    x = 1,758,222.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.