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Finding the Third Proportional to 70,708 and 153,878

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Solution

The third proportional to 70,708 and 153,878 is: 334,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,708 : 153,878 = 153,878 : x
  2. Step 2: Convert to fraction form
    70,708/153,878 = 153,878/x
  3. Step 3: Cross multiply
    70,708x = 153,878 × 153,878
  4. Step 4: Simplify right side
    70,708x = 23,678,438,884
  5. Step 5: Solve for x
    x = 23,678,438,884/70,708
  6. Step 6: Final answer
    x = 334,876.38

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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.