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Finding the Third Proportional to 10,490 and 22,828

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Solution

The third proportional to 10,490 and 22,828 is: 49,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490 : 22,828 = 22,828 : x
  2. Step 2: Convert to fraction form
    10,490/22,828 = 22,828/x
  3. Step 3: Cross multiply
    10,490x = 22,828 × 22,828
  4. Step 4: Simplify right side
    10,490x = 521,117,584
  5. Step 5: Solve for x
    x = 521,117,584/10,490
  6. Step 6: Final answer
    x = 49,677.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.