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Finding the Third Proportional to 77,760 and 170,298

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Solution

The third proportional to 77,760 and 170,298 is: 372,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760 : 170,298 = 170,298 : x
  2. Step 2: Convert to fraction form
    77,760/170,298 = 170,298/x
  3. Step 3: Cross multiply
    77,760x = 170,298 × 170,298
  4. Step 4: Simplify right side
    77,760x = 29,001,408,804
  5. Step 5: Solve for x
    x = 29,001,408,804/77,760
  6. Step 6: Final answer
    x = 372,960.50

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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.