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Finding the Third Proportional to 70,393 and 153,908

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Solution

The third proportional to 70,393 and 153,908 is: 336,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,393 : 153,908 = 153,908 : x
  2. Step 2: Convert to fraction form
    70,393/153,908 = 153,908/x
  3. Step 3: Cross multiply
    70,393x = 153,908 × 153,908
  4. Step 4: Simplify right side
    70,393x = 23,687,672,464
  5. Step 5: Solve for x
    x = 23,687,672,464/70,393
  6. Step 6: Final answer
    x = 336,506.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.