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Finding the Third Proportional to 78,540 and 170,904

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Solution

The third proportional to 78,540 and 170,904 is: 371,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540 : 170,904 = 170,904 : x
  2. Step 2: Convert to fraction form
    78,540/170,904 = 170,904/x
  3. Step 3: Cross multiply
    78,540x = 170,904 × 170,904
  4. Step 4: Simplify right side
    78,540x = 29,208,177,216
  5. Step 5: Solve for x
    x = 29,208,177,216/78,540
  6. Step 6: Final answer
    x = 371,889.19

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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.