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Finding the Third Proportional to 70,323 and 151,643

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Solution

The third proportional to 70,323 and 151,643 is: 326,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,323 : 151,643 = 151,643 : x
  2. Step 2: Convert to fraction form
    70,323/151,643 = 151,643/x
  3. Step 3: Cross multiply
    70,323x = 151,643 × 151,643
  4. Step 4: Simplify right side
    70,323x = 22,995,599,449
  5. Step 5: Solve for x
    x = 22,995,599,449/70,323
  6. Step 6: Final answer
    x = 326,999.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.