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Finding the Third Proportional to 70,726 and 153,722

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Solution

The third proportional to 70,726 and 153,722 is: 334,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,726 : 153,722 = 153,722 : x
  2. Step 2: Convert to fraction form
    70,726/153,722 = 153,722/x
  3. Step 3: Cross multiply
    70,726x = 153,722 × 153,722
  4. Step 4: Simplify right side
    70,726x = 23,630,453,284
  5. Step 5: Solve for x
    x = 23,630,453,284/70,726
  6. Step 6: Final answer
    x = 334,112.68

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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.