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Finding the Third Proportional to 131,663.25 and 310,619.25

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Solution

The third proportional to 131,663.25 and 310,619.25 is: 732,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,663.25 : 310,619.25 = 310,619.25 : x
  2. Step 2: Convert to fraction form
    131,663.25/310,619.25 = 310,619.25/x
  3. Step 3: Cross multiply
    131,663.25x = 310,619.25 × 310,619.25
  4. Step 4: Simplify right side
    131,663.25x = 96,484,318,470.56
  5. Step 5: Solve for x
    x = 96,484,318,470.56/131,663.25
  6. Step 6: Final answer
    x = 732,811.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.