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Finding the Third Proportional to 70,709 and 153,876

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Solution

The third proportional to 70,709 and 153,876 is: 334,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709 : 153,876 = 153,876 : x
  2. Step 2: Convert to fraction form
    70,709/153,876 = 153,876/x
  3. Step 3: Cross multiply
    70,709x = 153,876 × 153,876
  4. Step 4: Simplify right side
    70,709x = 23,677,823,376
  5. Step 5: Solve for x
    x = 23,677,823,376/70,709
  6. Step 6: Final answer
    x = 334,862.94

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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.