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Finding the Third Proportional to 388.38 and 899.13

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Solution

The third proportional to 388.38 and 899.13 is: 2,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.38 : 899.13 = 899.13 : x
  2. Step 2: Convert to fraction form
    388.38/899.13 = 899.13/x
  3. Step 3: Cross multiply
    388.38x = 899.13 × 899.13
  4. Step 4: Simplify right side
    388.38x = 808,425.77
  5. Step 5: Solve for x
    x = 808,425.77/388.38
  6. Step 6: Final answer
    x = 2,081.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.