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Finding the Third Proportional to 851.98 and 1,316.88

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Solution

The third proportional to 851.98 and 1,316.88 is: 2,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.98 : 1,316.88 = 1,316.88 : x
  2. Step 2: Convert to fraction form
    851.98/1,316.88 = 1,316.88/x
  3. Step 3: Cross multiply
    851.98x = 1,316.88 × 1,316.88
  4. Step 4: Simplify right side
    851.98x = 1,734,180.34
  5. Step 5: Solve for x
    x = 1,734,180.34/851.98
  6. Step 6: Final answer
    x = 2,035.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.