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Finding the Third Proportional to 320.20 and 515.74

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Solution

The third proportional to 320.20 and 515.74 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 515.74 = 515.74 : x
  2. Step 2: Convert to fraction form
    320.20/515.74 = 515.74/x
  3. Step 3: Cross multiply
    320.20x = 515.74 × 515.74
  4. Step 4: Simplify right side
    320.20x = 265,990.00
  5. Step 5: Solve for x
    x = 265,990.00/320.20
  6. Step 6: Final answer
    x = 830.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.