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Finding the Third Proportional to 30,816 and 47,810

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Solution

The third proportional to 30,816 and 47,810 is: 74,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 47,810 = 47,810 : x
  2. Step 2: Convert to fraction form
    30,816/47,810 = 47,810/x
  3. Step 3: Cross multiply
    30,816x = 47,810 × 47,810
  4. Step 4: Simplify right side
    30,816x = 2,285,796,100
  5. Step 5: Solve for x
    x = 2,285,796,100/30,816
  6. Step 6: Final answer
    x = 74,175.63

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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.