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Finding the Third Proportional to 415,606 and 897,668

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Solution

The third proportional to 415,606 and 897,668 is: 1,938,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,606 : 897,668 = 897,668 : x
  2. Step 2: Convert to fraction form
    415,606/897,668 = 897,668/x
  3. Step 3: Cross multiply
    415,606x = 897,668 × 897,668
  4. Step 4: Simplify right side
    415,606x = 805,807,838,224
  5. Step 5: Solve for x
    x = 805,807,838,224/415,606
  6. Step 6: Final answer
    x = 1,938,874.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.