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Finding the Third Proportional to 70,378 and 143,617

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Solution

The third proportional to 70,378 and 143,617 is: 293,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378 : 143,617 = 143,617 : x
  2. Step 2: Convert to fraction form
    70,378/143,617 = 143,617/x
  3. Step 3: Cross multiply
    70,378x = 143,617 × 143,617
  4. Step 4: Simplify right side
    70,378x = 20,625,842,689
  5. Step 5: Solve for x
    x = 20,625,842,689/70,378
  6. Step 6: Final answer
    x = 293,072.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.