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Finding the Third Proportional to 131,807.81 and 199,560.19

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Solution

The third proportional to 131,807.81 and 199,560.19 is: 302,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807.81 : 199,560.19 = 199,560.19 : x
  2. Step 2: Convert to fraction form
    131,807.81/199,560.19 = 199,560.19/x
  3. Step 3: Cross multiply
    131,807.81x = 199,560.19 × 199,560.19
  4. Step 4: Simplify right side
    131,807.81x = 39,824,268,435.04
  5. Step 5: Solve for x
    x = 39,824,268,435.04/131,807.81
  6. Step 6: Final answer
    x = 302,138.91

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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.