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Finding the Third Proportional to 130,308 and 206,502.75

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Solution

The third proportional to 130,308 and 206,502.75 is: 327,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,308 : 206,502.75 = 206,502.75 : x
  2. Step 2: Convert to fraction form
    130,308/206,502.75 = 206,502.75/x
  3. Step 3: Cross multiply
    130,308x = 206,502.75 × 206,502.75
  4. Step 4: Simplify right side
    130,308x = 42,643,385,757.56
  5. Step 5: Solve for x
    x = 42,643,385,757.56/130,308
  6. Step 6: Final answer
    x = 327,250.71

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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.