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Finding the Third Proportional to 402.61 and 857.95

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Solution

The third proportional to 402.61 and 857.95 is: 1,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.61 : 857.95 = 857.95 : x
  2. Step 2: Convert to fraction form
    402.61/857.95 = 857.95/x
  3. Step 3: Cross multiply
    402.61x = 857.95 × 857.95
  4. Step 4: Simplify right side
    402.61x = 736,083.56
  5. Step 5: Solve for x
    x = 736,083.56/402.61
  6. Step 6: Final answer
    x = 1,828.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.