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Finding the Third Proportional to 131,569.95 and 288,310.64

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Solution

The third proportional to 131,569.95 and 288,310.64 is: 631,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569.95 : 288,310.64 = 288,310.64 : x
  2. Step 2: Convert to fraction form
    131,569.95/288,310.64 = 288,310.64/x
  3. Step 3: Cross multiply
    131,569.95x = 288,310.64 × 288,310.64
  4. Step 4: Simplify right side
    131,569.95x = 83,123,025,497.60
  5. Step 5: Solve for x
    x = 83,123,025,497.60/131,569.95
  6. Step 6: Final answer
    x = 631,778.22

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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.