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Finding the Third Proportional to 287,084.25 and 618,040.13

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Solution

The third proportional to 287,084.25 and 618,040.13 is: 1,330,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,084.25 : 618,040.13 = 618,040.13 : x
  2. Step 2: Convert to fraction form
    287,084.25/618,040.13 = 618,040.13/x
  3. Step 3: Cross multiply
    287,084.25x = 618,040.13 × 618,040.13
  4. Step 4: Simplify right side
    287,084.25x = 381,973,596,110.02
  5. Step 5: Solve for x
    x = 381,973,596,110.02/287,084.25
  6. Step 6: Final answer
    x = 1,330,527.87

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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.