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Finding the Third Proportional to 78,182 and 170,704

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Solution

The third proportional to 78,182 and 170,704 is: 372,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182 : 170,704 = 170,704 : x
  2. Step 2: Convert to fraction form
    78,182/170,704 = 170,704/x
  3. Step 3: Cross multiply
    78,182x = 170,704 × 170,704
  4. Step 4: Simplify right side
    78,182x = 29,139,855,616
  5. Step 5: Solve for x
    x = 29,139,855,616/78,182
  6. Step 6: Final answer
    x = 372,718.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.