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Finding the Third Proportional to 78,807 and 170,721

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Solution

The third proportional to 78,807 and 170,721 is: 369,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,807 : 170,721 = 170,721 : x
  2. Step 2: Convert to fraction form
    78,807/170,721 = 170,721/x
  3. Step 3: Cross multiply
    78,807x = 170,721 × 170,721
  4. Step 4: Simplify right side
    78,807x = 29,145,659,841
  5. Step 5: Solve for x
    x = 29,145,659,841/78,807
  6. Step 6: Final answer
    x = 369,835.93

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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.