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Finding the Third Proportional to 320.84 and 691.77

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Solution

The third proportional to 320.84 and 691.77 is: 1,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 691.77 = 691.77 : x
  2. Step 2: Convert to fraction form
    320.84/691.77 = 691.77/x
  3. Step 3: Cross multiply
    320.84x = 691.77 × 691.77
  4. Step 4: Simplify right side
    320.84x = 478,545.08
  5. Step 5: Solve for x
    x = 478,545.08/320.84
  6. Step 6: Final answer
    x = 1,491.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.