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Finding the Third Proportional to 160,252.50 and 232,110.75

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Solution

The third proportional to 160,252.50 and 232,110.75 is: 336,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,252.50 : 232,110.75 = 232,110.75 : x
  2. Step 2: Convert to fraction form
    160,252.50/232,110.75 = 232,110.75/x
  3. Step 3: Cross multiply
    160,252.50x = 232,110.75 × 232,110.75
  4. Step 4: Simplify right side
    160,252.50x = 53,875,400,265.56
  5. Step 5: Solve for x
    x = 53,875,400,265.56/160,252.50
  6. Step 6: Final answer
    x = 336,190.70

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