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Finding the Third Proportional to 122,818.78 and 260,399.81

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Solution

The third proportional to 122,818.78 and 260,399.81 is: 552,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,818.78 : 260,399.81 = 260,399.81 : x
  2. Step 2: Convert to fraction form
    122,818.78/260,399.81 = 260,399.81/x
  3. Step 3: Cross multiply
    122,818.78x = 260,399.81 × 260,399.81
  4. Step 4: Simplify right side
    122,818.78x = 67,808,062,350.04
  5. Step 5: Solve for x
    x = 67,808,062,350.04/122,818.78
  6. Step 6: Final answer
    x = 552,098.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.