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Finding the Third Proportional to 402,584 and 868,218

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Solution

The third proportional to 402,584 and 868,218 is: 1,872,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,584 : 868,218 = 868,218 : x
  2. Step 2: Convert to fraction form
    402,584/868,218 = 868,218/x
  3. Step 3: Cross multiply
    402,584x = 868,218 × 868,218
  4. Step 4: Simplify right side
    402,584x = 753,802,495,524
  5. Step 5: Solve for x
    x = 753,802,495,524/402,584
  6. Step 6: Final answer
    x = 1,872,410.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.