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Finding the Third Proportional to 78,246 and 168,660

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Solution

The third proportional to 78,246 and 168,660 is: 363,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246 : 168,660 = 168,660 : x
  2. Step 2: Convert to fraction form
    78,246/168,660 = 168,660/x
  3. Step 3: Cross multiply
    78,246x = 168,660 × 168,660
  4. Step 4: Simplify right side
    78,246x = 28,446,195,600
  5. Step 5: Solve for x
    x = 28,446,195,600/78,246
  6. Step 6: Final answer
    x = 363,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.