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Finding the Third Proportional to 30,840 and 47,736

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Solution

The third proportional to 30,840 and 47,736 is: 73,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 47,736 = 47,736 : x
  2. Step 2: Convert to fraction form
    30,840/47,736 = 47,736/x
  3. Step 3: Cross multiply
    30,840x = 47,736 × 47,736
  4. Step 4: Simplify right side
    30,840x = 2,278,725,696
  5. Step 5: Solve for x
    x = 2,278,725,696/30,840
  6. Step 6: Final answer
    x = 73,888.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.