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Finding the Third Proportional to 402,586 and 868,222

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Solution

The third proportional to 402,586 and 868,222 is: 1,872,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,586 : 868,222 = 868,222 : x
  2. Step 2: Convert to fraction form
    402,586/868,222 = 868,222/x
  3. Step 3: Cross multiply
    402,586x = 868,222 × 868,222
  4. Step 4: Simplify right side
    402,586x = 753,809,441,284
  5. Step 5: Solve for x
    x = 753,809,441,284/402,586
  6. Step 6: Final answer
    x = 1,872,418.42

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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.