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Finding the Third Proportional to 130.69 and 206.16

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Solution

The third proportional to 130.69 and 206.16 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 206.16 = 206.16 : x
  2. Step 2: Convert to fraction form
    130.69/206.16 = 206.16/x
  3. Step 3: Cross multiply
    130.69x = 206.16 × 206.16
  4. Step 4: Simplify right side
    130.69x = 42,500.40
  5. Step 5: Solve for x
    x = 42,500.40/130.69
  6. Step 6: Final answer
    x = 325.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.