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Finding the Third Proportional to 178,240.50 and 258,886.13

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Solution

The third proportional to 178,240.50 and 258,886.13 is: 376,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,240.50 : 258,886.13 = 258,886.13 : x
  2. Step 2: Convert to fraction form
    178,240.50/258,886.13 = 258,886.13/x
  3. Step 3: Cross multiply
    178,240.50x = 258,886.13 × 258,886.13
  4. Step 4: Simplify right side
    178,240.50x = 67,022,025,717.52
  5. Step 5: Solve for x
    x = 67,022,025,717.52/178,240.50
  6. Step 6: Final answer
    x = 376,020.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.