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Finding the Third Proportional to 262,120 and 392,775

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Solution

The third proportional to 262,120 and 392,775 is: 588,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120 : 392,775 = 392,775 : x
  2. Step 2: Convert to fraction form
    262,120/392,775 = 392,775/x
  3. Step 3: Cross multiply
    262,120x = 392,775 × 392,775
  4. Step 4: Simplify right side
    262,120x = 154,272,200,625
  5. Step 5: Solve for x
    x = 154,272,200,625/262,120
  6. Step 6: Final answer
    x = 588,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.