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Finding the Third Proportional to 77,859 and 170,259

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Solution

The third proportional to 77,859 and 170,259 is: 372,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,859 : 170,259 = 170,259 : x
  2. Step 2: Convert to fraction form
    77,859/170,259 = 170,259/x
  3. Step 3: Cross multiply
    77,859x = 170,259 × 170,259
  4. Step 4: Simplify right side
    77,859x = 28,988,127,081
  5. Step 5: Solve for x
    x = 28,988,127,081/77,859
  6. Step 6: Final answer
    x = 372,315.69

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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.