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Finding the Third Proportional to 70,392 and 151,787

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Solution

The third proportional to 70,392 and 151,787 is: 327,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392 : 151,787 = 151,787 : x
  2. Step 2: Convert to fraction form
    70,392/151,787 = 151,787/x
  3. Step 3: Cross multiply
    70,392x = 151,787 × 151,787
  4. Step 4: Simplify right side
    70,392x = 23,039,293,369
  5. Step 5: Solve for x
    x = 23,039,293,369/70,392
  6. Step 6: Final answer
    x = 327,299.88

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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.