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Finding the Third Proportional to 10,825.31 and 23,609.81

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Solution

The third proportional to 10,825.31 and 23,609.81 is: 51,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.31 : 23,609.81 = 23,609.81 : x
  2. Step 2: Convert to fraction form
    10,825.31/23,609.81 = 23,609.81/x
  3. Step 3: Cross multiply
    10,825.31x = 23,609.81 × 23,609.81
  4. Step 4: Simplify right side
    10,825.31x = 557,423,246.29
  5. Step 5: Solve for x
    x = 557,423,246.29/10,825.31
  6. Step 6: Final answer
    x = 51,492.58

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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.