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Finding the Third Proportional to 10,345 and 22,489

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Solution

The third proportional to 10,345 and 22,489 is: 48,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345 : 22,489 = 22,489 : x
  2. Step 2: Convert to fraction form
    10,345/22,489 = 22,489/x
  3. Step 3: Cross multiply
    10,345x = 22,489 × 22,489
  4. Step 4: Simplify right side
    10,345x = 505,755,121
  5. Step 5: Solve for x
    x = 505,755,121/10,345
  6. Step 6: Final answer
    x = 48,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.