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Finding the Third Proportional to 402,532 and 868,118

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Solution

The third proportional to 402,532 and 868,118 is: 1,872,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,532 : 868,118 = 868,118 : x
  2. Step 2: Convert to fraction form
    402,532/868,118 = 868,118/x
  3. Step 3: Cross multiply
    402,532x = 868,118 × 868,118
  4. Step 4: Simplify right side
    402,532x = 753,628,861,924
  5. Step 5: Solve for x
    x = 753,628,861,924/402,532
  6. Step 6: Final answer
    x = 1,872,221.00

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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.