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Finding the Third Proportional to 30,864 and 47,578

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Solution

The third proportional to 30,864 and 47,578 is: 73,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 47,578 = 47,578 : x
  2. Step 2: Convert to fraction form
    30,864/47,578 = 47,578/x
  3. Step 3: Cross multiply
    30,864x = 47,578 × 47,578
  4. Step 4: Simplify right side
    30,864x = 2,263,666,084
  5. Step 5: Solve for x
    x = 2,263,666,084/30,864
  6. Step 6: Final answer
    x = 73,343.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.