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Finding the Third Proportional to 987.47 and 2,055.94

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Solution

The third proportional to 987.47 and 2,055.94 is: 4,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.47 : 2,055.94 = 2,055.94 : x
  2. Step 2: Convert to fraction form
    987.47/2,055.94 = 2,055.94/x
  3. Step 3: Cross multiply
    987.47x = 2,055.94 × 2,055.94
  4. Step 4: Simplify right side
    987.47x = 4,226,879.00
  5. Step 5: Solve for x
    x = 4,226,879.00/987.47
  6. Step 6: Final answer
    x = 4,280.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.