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Finding the Third Proportional to 72,210 and 168,718

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Solution

The third proportional to 72,210 and 168,718 is: 394,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210 : 168,718 = 168,718 : x
  2. Step 2: Convert to fraction form
    72,210/168,718 = 168,718/x
  3. Step 3: Cross multiply
    72,210x = 168,718 × 168,718
  4. Step 4: Simplify right side
    72,210x = 28,465,763,524
  5. Step 5: Solve for x
    x = 28,465,763,524/72,210
  6. Step 6: Final answer
    x = 394,208.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.