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Finding the Third Proportional to 86,009.50 and 130,312

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Solution

The third proportional to 86,009.50 and 130,312 is: 197,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,009.50 : 130,312 = 130,312 : x
  2. Step 2: Convert to fraction form
    86,009.50/130,312 = 130,312/x
  3. Step 3: Cross multiply
    86,009.50x = 130,312 × 130,312
  4. Step 4: Simplify right side
    86,009.50x = 16,981,217,344
  5. Step 5: Solve for x
    x = 16,981,217,344/86,009.50
  6. Step 6: Final answer
    x = 197,434.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.