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Finding the Third Proportional to 121,647.60 and 266,976.32

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Solution

The third proportional to 121,647.60 and 266,976.32 is: 585,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,647.60 : 266,976.32 = 266,976.32 : x
  2. Step 2: Convert to fraction form
    121,647.60/266,976.32 = 266,976.32/x
  3. Step 3: Cross multiply
    121,647.60x = 266,976.32 × 266,976.32
  4. Step 4: Simplify right side
    121,647.60x = 71,276,353,521.85
  5. Step 5: Solve for x
    x = 71,276,353,521.85/121,647.60
  6. Step 6: Final answer
    x = 585,924.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.