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Finding the Third Proportional to 374,342 and 818,668

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Solution

The third proportional to 374,342 and 818,668 is: 1,790,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,342 : 818,668 = 818,668 : x
  2. Step 2: Convert to fraction form
    374,342/818,668 = 818,668/x
  3. Step 3: Cross multiply
    374,342x = 818,668 × 818,668
  4. Step 4: Simplify right side
    374,342x = 670,217,294,224
  5. Step 5: Solve for x
    x = 670,217,294,224/374,342
  6. Step 6: Final answer
    x = 1,790,387.65

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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.