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Finding the Third Proportional to 72,712 and 154,214

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Solution

The third proportional to 72,712 and 154,214 is: 327,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712 : 154,214 = 154,214 : x
  2. Step 2: Convert to fraction form
    72,712/154,214 = 154,214/x
  3. Step 3: Cross multiply
    72,712x = 154,214 × 154,214
  4. Step 4: Simplify right side
    72,712x = 23,781,957,796
  5. Step 5: Solve for x
    x = 23,781,957,796/72,712
  6. Step 6: Final answer
    x = 327,070.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.