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Finding the Third Proportional to 120,782 and 260,032

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Solution

The third proportional to 120,782 and 260,032 is: 559,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782 : 260,032 = 260,032 : x
  2. Step 2: Convert to fraction form
    120,782/260,032 = 260,032/x
  3. Step 3: Cross multiply
    120,782x = 260,032 × 260,032
  4. Step 4: Simplify right side
    120,782x = 67,616,641,024
  5. Step 5: Solve for x
    x = 67,616,641,024/120,782
  6. Step 6: Final answer
    x = 559,823.82

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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.