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Finding the Third Proportional to 619,299 and 872,085

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Solution

The third proportional to 619,299 and 872,085 is: 1,228,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,299 : 872,085 = 872,085 : x
  2. Step 2: Convert to fraction form
    619,299/872,085 = 872,085/x
  3. Step 3: Cross multiply
    619,299x = 872,085 × 872,085
  4. Step 4: Simplify right side
    619,299x = 760,532,247,225
  5. Step 5: Solve for x
    x = 760,532,247,225/619,299
  6. Step 6: Final answer
    x = 1,228,053.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.