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Finding the Third Proportional to 129,795.75 and 287,772.75

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Solution

The third proportional to 129,795.75 and 287,772.75 is: 638,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,795.75 : 287,772.75 = 287,772.75 : x
  2. Step 2: Convert to fraction form
    129,795.75/287,772.75 = 287,772.75/x
  3. Step 3: Cross multiply
    129,795.75x = 287,772.75 × 287,772.75
  4. Step 4: Simplify right side
    129,795.75x = 82,813,155,642.56
  5. Step 5: Solve for x
    x = 82,813,155,642.56/129,795.75
  6. Step 6: Final answer
    x = 638,026.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.