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Finding the Third Proportional to 868,072 and 1,904,225

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Solution

The third proportional to 868,072 and 1,904,225 is: 4,177,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,072 : 1,904,225 = 1,904,225 : x
  2. Step 2: Convert to fraction form
    868,072/1,904,225 = 1,904,225/x
  3. Step 3: Cross multiply
    868,072x = 1,904,225 × 1,904,225
  4. Step 4: Simplify right side
    868,072x = 3,626,072,850,625
  5. Step 5: Solve for x
    x = 3,626,072,850,625/868,072
  6. Step 6: Final answer
    x = 4,177,156.79

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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.