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Finding the Third Proportional to 262,166 and 402,987

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Solution

The third proportional to 262,166 and 402,987 is: 619,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,166 : 402,987 = 402,987 : x
  2. Step 2: Convert to fraction form
    262,166/402,987 = 402,987/x
  3. Step 3: Cross multiply
    262,166x = 402,987 × 402,987
  4. Step 4: Simplify right side
    262,166x = 162,398,522,169
  5. Step 5: Solve for x
    x = 162,398,522,169/262,166
  6. Step 6: Final answer
    x = 619,449.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.