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Finding the Third Proportional to 21,729 and 47,613

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Solution

The third proportional to 21,729 and 47,613 is: 104,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729 : 47,613 = 47,613 : x
  2. Step 2: Convert to fraction form
    21,729/47,613 = 47,613/x
  3. Step 3: Cross multiply
    21,729x = 47,613 × 47,613
  4. Step 4: Simplify right side
    21,729x = 2,266,997,769
  5. Step 5: Solve for x
    x = 2,266,997,769/21,729
  6. Step 6: Final answer
    x = 104,330.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.