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Finding the Third Proportional to 103,586.34 and 226,491.19

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Solution

The third proportional to 103,586.34 and 226,491.19 is: 495,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,586.34 : 226,491.19 = 226,491.19 : x
  2. Step 2: Convert to fraction form
    103,586.34/226,491.19 = 226,491.19/x
  3. Step 3: Cross multiply
    103,586.34x = 226,491.19 × 226,491.19
  4. Step 4: Simplify right side
    103,586.34x = 51,298,258,015.16
  5. Step 5: Solve for x
    x = 51,298,258,015.16/103,586.34
  6. Step 6: Final answer
    x = 495,222.21

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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.