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Finding the Third Proportional to 102,371.34 and 221,388.19

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Solution

The third proportional to 102,371.34 and 221,388.19 is: 478,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,371.34 : 221,388.19 = 221,388.19 : x
  2. Step 2: Convert to fraction form
    102,371.34/221,388.19 = 221,388.19/x
  3. Step 3: Cross multiply
    102,371.34x = 221,388.19 × 221,388.19
  4. Step 4: Simplify right side
    102,371.34x = 49,012,729,564.54
  5. Step 5: Solve for x
    x = 49,012,729,564.54/102,371.34
  6. Step 6: Final answer
    x = 478,773.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.