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Finding the Third Proportional to 19,830 and 47,781

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Solution

The third proportional to 19,830 and 47,781 is: 115,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 47,781 = 47,781 : x
  2. Step 2: Convert to fraction form
    19,830/47,781 = 47,781/x
  3. Step 3: Cross multiply
    19,830x = 47,781 × 47,781
  4. Step 4: Simplify right side
    19,830x = 2,283,023,961
  5. Step 5: Solve for x
    x = 2,283,023,961/19,830
  6. Step 6: Final answer
    x = 115,129.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.