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Finding the Third Proportional to 121,405 and 283,566

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Solution

The third proportional to 121,405 and 283,566 is: 662,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405 : 283,566 = 283,566 : x
  2. Step 2: Convert to fraction form
    121,405/283,566 = 283,566/x
  3. Step 3: Cross multiply
    121,405x = 283,566 × 283,566
  4. Step 4: Simplify right side
    121,405x = 80,409,676,356
  5. Step 5: Solve for x
    x = 80,409,676,356/121,405
  6. Step 6: Final answer
    x = 662,325.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.