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Finding the Third Proportional to 21,129 and 45,602

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Solution

The third proportional to 21,129 and 45,602 is: 98,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129 : 45,602 = 45,602 : x
  2. Step 2: Convert to fraction form
    21,129/45,602 = 45,602/x
  3. Step 3: Cross multiply
    21,129x = 45,602 × 45,602
  4. Step 4: Simplify right side
    21,129x = 2,079,542,404
  5. Step 5: Solve for x
    x = 2,079,542,404/21,129
  6. Step 6: Final answer
    x = 98,421.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.