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Finding the Third Proportional to 78,811 and 170,729

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Solution

The third proportional to 78,811 and 170,729 is: 369,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811 : 170,729 = 170,729 : x
  2. Step 2: Convert to fraction form
    78,811/170,729 = 170,729/x
  3. Step 3: Cross multiply
    78,811x = 170,729 × 170,729
  4. Step 4: Simplify right side
    78,811x = 29,148,391,441
  5. Step 5: Solve for x
    x = 29,148,391,441/78,811
  6. Step 6: Final answer
    x = 369,851.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.