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Finding the Third Proportional to 21,137 and 45,659

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Solution

The third proportional to 21,137 and 45,659 is: 98,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137 : 45,659 = 45,659 : x
  2. Step 2: Convert to fraction form
    21,137/45,659 = 45,659/x
  3. Step 3: Cross multiply
    21,137x = 45,659 × 45,659
  4. Step 4: Simplify right side
    21,137x = 2,084,744,281
  5. Step 5: Solve for x
    x = 2,084,744,281/21,137
  6. Step 6: Final answer
    x = 98,630.09

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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.