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Finding the Third Proportional to 72,805.50 and 159,634.13

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Solution

The third proportional to 72,805.50 and 159,634.13 is: 350,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 159,634.13 = 159,634.13 : x
  2. Step 2: Convert to fraction form
    72,805.50/159,634.13 = 159,634.13/x
  3. Step 3: Cross multiply
    72,805.50x = 159,634.13 × 159,634.13
  4. Step 4: Simplify right side
    72,805.50x = 25,483,053,864.52
  5. Step 5: Solve for x
    x = 25,483,053,864.52/72,805.50
  6. Step 6: Final answer
    x = 350,015.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.