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Finding the Third Proportional to 131,376.62 and 287,288.65

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Solution

The third proportional to 131,376.62 and 287,288.65 is: 628,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,376.62 : 287,288.65 = 287,288.65 : x
  2. Step 2: Convert to fraction form
    131,376.62/287,288.65 = 287,288.65/x
  3. Step 3: Cross multiply
    131,376.62x = 287,288.65 × 287,288.65
  4. Step 4: Simplify right side
    131,376.62x = 82,534,767,521.05
  5. Step 5: Solve for x
    x = 82,534,767,521.05/131,376.62
  6. Step 6: Final answer
    x = 628,230.25

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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.