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Finding the Third Proportional to 103,050 and 226,026

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Solution

The third proportional to 103,050 and 226,026 is: 495,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050 : 226,026 = 226,026 : x
  2. Step 2: Convert to fraction form
    103,050/226,026 = 226,026/x
  3. Step 3: Cross multiply
    103,050x = 226,026 × 226,026
  4. Step 4: Simplify right side
    103,050x = 51,087,752,676
  5. Step 5: Solve for x
    x = 51,087,752,676/103,050
  6. Step 6: Final answer
    x = 495,756.94

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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.