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Finding the Third Proportional to 477.88 and 999.13

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Solution

The third proportional to 477.88 and 999.13 is: 2,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.88 : 999.13 = 999.13 : x
  2. Step 2: Convert to fraction form
    477.88/999.13 = 999.13/x
  3. Step 3: Cross multiply
    477.88x = 999.13 × 999.13
  4. Step 4: Simplify right side
    477.88x = 998,250.77
  5. Step 5: Solve for x
    x = 998,250.77/477.88
  6. Step 6: Final answer
    x = 2,088.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.