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Finding the Third Proportional to 103,040 and 226,006

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Solution

The third proportional to 103,040 and 226,006 is: 495,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,040 : 226,006 = 226,006 : x
  2. Step 2: Convert to fraction form
    103,040/226,006 = 226,006/x
  3. Step 3: Cross multiply
    103,040x = 226,006 × 226,006
  4. Step 4: Simplify right side
    103,040x = 51,078,712,036
  5. Step 5: Solve for x
    x = 51,078,712,036/103,040
  6. Step 6: Final answer
    x = 495,717.31

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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.