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Finding the Third Proportional to 616.69 and 1,320.84

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Solution

The third proportional to 616.69 and 1,320.84 is: 2,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.69 : 1,320.84 = 1,320.84 : x
  2. Step 2: Convert to fraction form
    616.69/1,320.84 = 1,320.84/x
  3. Step 3: Cross multiply
    616.69x = 1,320.84 × 1,320.84
  4. Step 4: Simplify right side
    616.69x = 1,744,628.21
  5. Step 5: Solve for x
    x = 1,744,628.21/616.69
  6. Step 6: Final answer
    x = 2,829.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.