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Finding the Third Proportional to 70,381 and 153,155

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Solution

The third proportional to 70,381 and 153,155 is: 333,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381 : 153,155 = 153,155 : x
  2. Step 2: Convert to fraction form
    70,381/153,155 = 153,155/x
  3. Step 3: Cross multiply
    70,381x = 153,155 × 153,155
  4. Step 4: Simplify right side
    70,381x = 23,456,454,025
  5. Step 5: Solve for x
    x = 23,456,454,025/70,381
  6. Step 6: Final answer
    x = 333,278.21

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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.