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Finding the Third Proportional to 487.13 and 971.72

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Solution

The third proportional to 487.13 and 971.72 is: 1,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.13 : 971.72 = 971.72 : x
  2. Step 2: Convert to fraction form
    487.13/971.72 = 971.72/x
  3. Step 3: Cross multiply
    487.13x = 971.72 × 971.72
  4. Step 4: Simplify right side
    487.13x = 944,237.33
  5. Step 5: Solve for x
    x = 944,237.33/487.13
  6. Step 6: Final answer
    x = 1,938.39

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.