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Finding the Third Proportional to 21,260 and 43,582

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Solution

The third proportional to 21,260 and 43,582 is: 89,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260 : 43,582 = 43,582 : x
  2. Step 2: Convert to fraction form
    21,260/43,582 = 43,582/x
  3. Step 3: Cross multiply
    21,260x = 43,582 × 43,582
  4. Step 4: Simplify right side
    21,260x = 1,899,390,724
  5. Step 5: Solve for x
    x = 1,899,390,724/21,260
  6. Step 6: Final answer
    x = 89,341.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.