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Finding the Third Proportional to 131,277.80 and 287,969.34

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Solution

The third proportional to 131,277.80 and 287,969.34 is: 631,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,277.80 : 287,969.34 = 287,969.34 : x
  2. Step 2: Convert to fraction form
    131,277.80/287,969.34 = 287,969.34/x
  3. Step 3: Cross multiply
    131,277.80x = 287,969.34 × 287,969.34
  4. Step 4: Simplify right side
    131,277.80x = 82,926,342,939.81
  5. Step 5: Solve for x
    x = 82,926,342,939.81/131,277.80
  6. Step 6: Final answer
    x = 631,685.97

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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.