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Finding the Third Proportional to 560 and 850

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Solution

The third proportional to 560 and 850 is: 1,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 850 = 850 : x
  2. Step 2: Convert to fraction form
    560/850 = 850/x
  3. Step 3: Cross multiply
    560x = 850 × 850
  4. Step 4: Simplify right side
    560x = 722,500
  5. Step 5: Solve for x
    x = 722,500/560
  6. Step 6: Final answer
    x = 1,290.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.