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Finding the Third Proportional to 70,220 and 153,976

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Solution

The third proportional to 70,220 and 153,976 is: 337,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,220 : 153,976 = 153,976 : x
  2. Step 2: Convert to fraction form
    70,220/153,976 = 153,976/x
  3. Step 3: Cross multiply
    70,220x = 153,976 × 153,976
  4. Step 4: Simplify right side
    70,220x = 23,708,608,576
  5. Step 5: Solve for x
    x = 23,708,608,576/70,220
  6. Step 6: Final answer
    x = 337,633.28

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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.