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Finding the Third Proportional to 70,768 and 153,812

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Solution

The third proportional to 70,768 and 153,812 is: 334,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768 : 153,812 = 153,812 : x
  2. Step 2: Convert to fraction form
    70,768/153,812 = 153,812/x
  3. Step 3: Cross multiply
    70,768x = 153,812 × 153,812
  4. Step 4: Simplify right side
    70,768x = 23,658,131,344
  5. Step 5: Solve for x
    x = 23,658,131,344/70,768
  6. Step 6: Final answer
    x = 334,305.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.