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Finding the Third Proportional to 120,787 and 257,166.50

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Solution

The third proportional to 120,787 and 257,166.50 is: 547,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787 : 257,166.50 = 257,166.50 : x
  2. Step 2: Convert to fraction form
    120,787/257,166.50 = 257,166.50/x
  3. Step 3: Cross multiply
    120,787x = 257,166.50 × 257,166.50
  4. Step 4: Simplify right side
    120,787x = 66,134,608,722.25
  5. Step 5: Solve for x
    x = 66,134,608,722.25/120,787
  6. Step 6: Final answer
    x = 547,530.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.