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Finding the Third Proportional to 10,228.78 and 22,371.19

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Solution

The third proportional to 10,228.78 and 22,371.19 is: 48,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 22,371.19 = 22,371.19 : x
  2. Step 2: Convert to fraction form
    10,228.78/22,371.19 = 22,371.19/x
  3. Step 3: Cross multiply
    10,228.78x = 22,371.19 × 22,371.19
  4. Step 4: Simplify right side
    10,228.78x = 500,470,030.16
  5. Step 5: Solve for x
    x = 500,470,030.16/10,228.78
  6. Step 6: Final answer
    x = 48,927.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.