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Finding the Third Proportional to 448.25 and 987.13

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Solution

The third proportional to 448.25 and 987.13 is: 2,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 987.13 = 987.13 : x
  2. Step 2: Convert to fraction form
    448.25/987.13 = 987.13/x
  3. Step 3: Cross multiply
    448.25x = 987.13 × 987.13
  4. Step 4: Simplify right side
    448.25x = 974,415.77
  5. Step 5: Solve for x
    x = 974,415.77/448.25
  6. Step 6: Final answer
    x = 2,173.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.