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Finding the Third Proportional to 402.19 and 930.80

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Solution

The third proportional to 402.19 and 930.80 is: 2,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 930.80 = 930.80 : x
  2. Step 2: Convert to fraction form
    402.19/930.80 = 930.80/x
  3. Step 3: Cross multiply
    402.19x = 930.80 × 930.80
  4. Step 4: Simplify right side
    402.19x = 866,382.82
  5. Step 5: Solve for x
    x = 866,382.82/402.19
  6. Step 6: Final answer
    x = 2,154.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.