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Finding the Third Proportional to 120,287 and 260,986

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Solution

The third proportional to 120,287 and 260,986 is: 566,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,287 : 260,986 = 260,986 : x
  2. Step 2: Convert to fraction form
    120,287/260,986 = 260,986/x
  3. Step 3: Cross multiply
    120,287x = 260,986 × 260,986
  4. Step 4: Simplify right side
    120,287x = 68,113,692,196
  5. Step 5: Solve for x
    x = 68,113,692,196/120,287
  6. Step 6: Final answer
    x = 566,259.80

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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.