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Finding the Third Proportional to 351.88 and 560.13

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Solution

The third proportional to 351.88 and 560.13 is: 891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.88 : 560.13 = 560.13 : x
  2. Step 2: Convert to fraction form
    351.88/560.13 = 560.13/x
  3. Step 3: Cross multiply
    351.88x = 560.13 × 560.13
  4. Step 4: Simplify right side
    351.88x = 313,740.02
  5. Step 5: Solve for x
    x = 313,740.02/351.88
  6. Step 6: Final answer
    x = 891.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.