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Finding the Third Proportional to 120,042 and 260,442

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Solution

The third proportional to 120,042 and 260,442 is: 565,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,042 : 260,442 = 260,442 : x
  2. Step 2: Convert to fraction form
    120,042/260,442 = 260,442/x
  3. Step 3: Cross multiply
    120,042x = 260,442 × 260,442
  4. Step 4: Simplify right side
    120,042x = 67,830,035,364
  5. Step 5: Solve for x
    x = 67,830,035,364/120,042
  6. Step 6: Final answer
    x = 565,052.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.