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Finding the Third Proportional to 120,307.78 and 261,400.61

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Solution

The third proportional to 120,307.78 and 261,400.61 is: 567,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.78 : 261,400.61 = 261,400.61 : x
  2. Step 2: Convert to fraction form
    120,307.78/261,400.61 = 261,400.61/x
  3. Step 3: Cross multiply
    120,307.78x = 261,400.61 × 261,400.61
  4. Step 4: Simplify right side
    120,307.78x = 68,330,276,539.43
  5. Step 5: Solve for x
    x = 68,330,276,539.43/120,307.78
  6. Step 6: Final answer
    x = 567,962.24

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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.