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Finding the Third Proportional to 134,257.50 and 310,356.56

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Solution

The third proportional to 134,257.50 and 310,356.56 is: 717,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,257.50 : 310,356.56 = 310,356.56 : x
  2. Step 2: Convert to fraction form
    134,257.50/310,356.56 = 310,356.56/x
  3. Step 3: Cross multiply
    134,257.50x = 310,356.56 × 310,356.56
  4. Step 4: Simplify right side
    134,257.50x = 96,321,195,886.82
  5. Step 5: Solve for x
    x = 96,321,195,886.82/134,257.50
  6. Step 6: Final answer
    x = 717,436.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.