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Finding the Third Proportional to 186,468 and 402,420

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Solution

The third proportional to 186,468 and 402,420 is: 868,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,468 : 402,420 = 402,420 : x
  2. Step 2: Convert to fraction form
    186,468/402,420 = 402,420/x
  3. Step 3: Cross multiply
    186,468x = 402,420 × 402,420
  4. Step 4: Simplify right side
    186,468x = 161,941,856,400
  5. Step 5: Solve for x
    x = 161,941,856,400/186,468
  6. Step 6: Final answer
    x = 868,469.96

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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.