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Finding the Third Proportional to 21,132 and 45,342

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Solution

The third proportional to 21,132 and 45,342 is: 97,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132 : 45,342 = 45,342 : x
  2. Step 2: Convert to fraction form
    21,132/45,342 = 45,342/x
  3. Step 3: Cross multiply
    21,132x = 45,342 × 45,342
  4. Step 4: Simplify right side
    21,132x = 2,055,896,964
  5. Step 5: Solve for x
    x = 2,055,896,964/21,132
  6. Step 6: Final answer
    x = 97,288.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.