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Finding the Third Proportional to 131,574.38 and 288,187.88

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Solution

The third proportional to 131,574.38 and 288,187.88 is: 631,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,574.38 : 288,187.88 = 288,187.88 : x
  2. Step 2: Convert to fraction form
    131,574.38/288,187.88 = 288,187.88/x
  3. Step 3: Cross multiply
    131,574.38x = 288,187.88 × 288,187.88
  4. Step 4: Simplify right side
    131,574.38x = 83,052,251,297.02
  5. Step 5: Solve for x
    x = 83,052,251,297.02/131,574.38
  6. Step 6: Final answer
    x = 631,219.04

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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.