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Finding the Third Proportional to 422,145 and 861,516

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Solution

The third proportional to 422,145 and 861,516 is: 1,758,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,145 : 861,516 = 861,516 : x
  2. Step 2: Convert to fraction form
    422,145/861,516 = 861,516/x
  3. Step 3: Cross multiply
    422,145x = 861,516 × 861,516
  4. Step 4: Simplify right side
    422,145x = 742,209,818,256
  5. Step 5: Solve for x
    x = 742,209,818,256/422,145
  6. Step 6: Final answer
    x = 1,758,186.92

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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.