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Finding the Third Proportional to 30,736 and 47,320

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Solution

The third proportional to 30,736 and 47,320 is: 72,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736 : 47,320 = 47,320 : x
  2. Step 2: Convert to fraction form
    30,736/47,320 = 47,320/x
  3. Step 3: Cross multiply
    30,736x = 47,320 × 47,320
  4. Step 4: Simplify right side
    30,736x = 2,239,182,400
  5. Step 5: Solve for x
    x = 2,239,182,400/30,736
  6. Step 6: Final answer
    x = 72,852.11

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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.