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Finding the Third Proportional to 410.38 and 900.49

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Solution

The third proportional to 410.38 and 900.49 is: 1,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 900.49 = 900.49 : x
  2. Step 2: Convert to fraction form
    410.38/900.49 = 900.49/x
  3. Step 3: Cross multiply
    410.38x = 900.49 × 900.49
  4. Step 4: Simplify right side
    410.38x = 810,886.18
  5. Step 5: Solve for x
    x = 810,886.18/410.38
  6. Step 6: Final answer
    x = 1,975.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.