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Finding the Third Proportional to 770.61 and 1,161.11

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Solution

The third proportional to 770.61 and 1,161.11 is: 1,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,161.11 = 1,161.11 : x
  2. Step 2: Convert to fraction form
    770.61/1,161.11 = 1,161.11/x
  3. Step 3: Cross multiply
    770.61x = 1,161.11 × 1,161.11
  4. Step 4: Simplify right side
    770.61x = 1,348,165.91
  5. Step 5: Solve for x
    x = 1,348,165.91/770.61
  6. Step 6: Final answer
    x = 1,749.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.