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Finding the Third Proportional to 402,512 and 861,385

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Solution

The third proportional to 402,512 and 861,385 is: 1,843,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,512 : 861,385 = 861,385 : x
  2. Step 2: Convert to fraction form
    402,512/861,385 = 861,385/x
  3. Step 3: Cross multiply
    402,512x = 861,385 × 861,385
  4. Step 4: Simplify right side
    402,512x = 741,984,118,225
  5. Step 5: Solve for x
    x = 741,984,118,225/402,512
  6. Step 6: Final answer
    x = 1,843,383.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.