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Finding the Third Proportional to 320.16 and 687.84

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Solution

The third proportional to 320.16 and 687.84 is: 1,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.16 : 687.84 = 687.84 : x
  2. Step 2: Convert to fraction form
    320.16/687.84 = 687.84/x
  3. Step 3: Cross multiply
    320.16x = 687.84 × 687.84
  4. Step 4: Simplify right side
    320.16x = 473,129.02
  5. Step 5: Solve for x
    x = 473,129.02/320.16
  6. Step 6: Final answer
    x = 1,477.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.