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Finding the Third Proportional to 78,608 and 170,896

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Solution

The third proportional to 78,608 and 170,896 is: 371,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,608 : 170,896 = 170,896 : x
  2. Step 2: Convert to fraction form
    78,608/170,896 = 170,896/x
  3. Step 3: Cross multiply
    78,608x = 170,896 × 170,896
  4. Step 4: Simplify right side
    78,608x = 29,205,442,816
  5. Step 5: Solve for x
    x = 29,205,442,816/78,608
  6. Step 6: Final answer
    x = 371,532.70

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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.