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Finding the Third Proportional to 70,672 and 154,288

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Solution

The third proportional to 70,672 and 154,288 is: 336,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,672 : 154,288 = 154,288 : x
  2. Step 2: Convert to fraction form
    70,672/154,288 = 154,288/x
  3. Step 3: Cross multiply
    70,672x = 154,288 × 154,288
  4. Step 4: Simplify right side
    70,672x = 23,804,786,944
  5. Step 5: Solve for x
    x = 23,804,786,944/70,672
  6. Step 6: Final answer
    x = 336,834.77

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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.