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Finding the Third Proportional to 987.56 and 2,124.19

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Solution

The third proportional to 987.56 and 2,124.19 is: 4,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.56 : 2,124.19 = 2,124.19 : x
  2. Step 2: Convert to fraction form
    987.56/2,124.19 = 2,124.19/x
  3. Step 3: Cross multiply
    987.56x = 2,124.19 × 2,124.19
  4. Step 4: Simplify right side
    987.56x = 4,512,172.54
  5. Step 5: Solve for x
    x = 4,512,172.54/987.56
  6. Step 6: Final answer
    x = 4,569.00

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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.