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Finding the Third Proportional to 121,106.81 and 260,722.13

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Solution

The third proportional to 121,106.81 and 260,722.13 is: 561,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.81 : 260,722.13 = 260,722.13 : x
  2. Step 2: Convert to fraction form
    121,106.81/260,722.13 = 260,722.13/x
  3. Step 3: Cross multiply
    121,106.81x = 260,722.13 × 260,722.13
  4. Step 4: Simplify right side
    121,106.81x = 67,976,026,464.52
  5. Step 5: Solve for x
    x = 67,976,026,464.52/121,106.81
  6. Step 6: Final answer
    x = 561,289.87

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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.