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Finding the Third Proportional to 619,342 and 872,170

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Solution

The third proportional to 619,342 and 872,170 is: 1,228,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,342 : 872,170 = 872,170 : x
  2. Step 2: Convert to fraction form
    619,342/872,170 = 872,170/x
  3. Step 3: Cross multiply
    619,342x = 872,170 × 872,170
  4. Step 4: Simplify right side
    619,342x = 760,680,508,900
  5. Step 5: Solve for x
    x = 760,680,508,900/619,342
  6. Step 6: Final answer
    x = 1,228,207.53

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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.