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Finding the Third Proportional to 287,082.56 and 618,036.75

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Solution

The third proportional to 287,082.56 and 618,036.75 is: 1,330,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,082.56 : 618,036.75 = 618,036.75 : x
  2. Step 2: Convert to fraction form
    287,082.56/618,036.75 = 618,036.75/x
  3. Step 3: Cross multiply
    287,082.56x = 618,036.75 × 618,036.75
  4. Step 4: Simplify right side
    287,082.56x = 381,969,424,350.56
  5. Step 5: Solve for x
    x = 381,969,424,350.56/287,082.56
  6. Step 6: Final answer
    x = 1,330,521.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.