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Finding the Third Proportional to 132,552 and 200,758.50

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Solution

The third proportional to 132,552 and 200,758.50 is: 304,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,552 : 200,758.50 = 200,758.50 : x
  2. Step 2: Convert to fraction form
    132,552/200,758.50 = 200,758.50/x
  3. Step 3: Cross multiply
    132,552x = 200,758.50 × 200,758.50
  4. Step 4: Simplify right side
    132,552x = 40,303,975,322.25
  5. Step 5: Solve for x
    x = 40,303,975,322.25/132,552
  6. Step 6: Final answer
    x = 304,061.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.