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Finding the Third Proportional to 122,861.81 and 185,420.39

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Solution

The third proportional to 122,861.81 and 185,420.39 is: 279,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,861.81 : 185,420.39 = 185,420.39 : x
  2. Step 2: Convert to fraction form
    122,861.81/185,420.39 = 185,420.39/x
  3. Step 3: Cross multiply
    122,861.81x = 185,420.39 × 185,420.39
  4. Step 4: Simplify right side
    122,861.81x = 34,380,721,259.53
  5. Step 5: Solve for x
    x = 34,380,721,259.53/122,861.81
  6. Step 6: Final answer
    x = 279,832.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.