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Finding the Third Proportional to 120,781 and 260,030

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Solution

The third proportional to 120,781 and 260,030 is: 559,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781 : 260,030 = 260,030 : x
  2. Step 2: Convert to fraction form
    120,781/260,030 = 260,030/x
  3. Step 3: Cross multiply
    120,781x = 260,030 × 260,030
  4. Step 4: Simplify right side
    120,781x = 67,615,600,900
  5. Step 5: Solve for x
    x = 67,615,600,900/120,781
  6. Step 6: Final answer
    x = 559,819.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.