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Finding the Third Proportional to 121,330.98 and 261,287.77

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Solution

The third proportional to 121,330.98 and 261,287.77 is: 562,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,330.98 : 261,287.77 = 261,287.77 : x
  2. Step 2: Convert to fraction form
    121,330.98/261,287.77 = 261,287.77/x
  3. Step 3: Cross multiply
    121,330.98x = 261,287.77 × 261,287.77
  4. Step 4: Simplify right side
    121,330.98x = 68,271,297,230.80
  5. Step 5: Solve for x
    x = 68,271,297,230.80/121,330.98
  6. Step 6: Final answer
    x = 562,686.44

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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.