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Finding the Third Proportional to 70,724 and 153,718

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Solution

The third proportional to 70,724 and 153,718 is: 334,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724 : 153,718 = 153,718 : x
  2. Step 2: Convert to fraction form
    70,724/153,718 = 153,718/x
  3. Step 3: Cross multiply
    70,724x = 153,718 × 153,718
  4. Step 4: Simplify right side
    70,724x = 23,629,223,524
  5. Step 5: Solve for x
    x = 23,629,223,524/70,724
  6. Step 6: Final answer
    x = 334,104.74

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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.