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Finding the Third Proportional to 260,680 and 402,987

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Solution

The third proportional to 260,680 and 402,987 is: 622,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,680 : 402,987 = 402,987 : x
  2. Step 2: Convert to fraction form
    260,680/402,987 = 402,987/x
  3. Step 3: Cross multiply
    260,680x = 402,987 × 402,987
  4. Step 4: Simplify right side
    260,680x = 162,398,522,169
  5. Step 5: Solve for x
    x = 162,398,522,169/260,680
  6. Step 6: Final answer
    x = 622,980.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.