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Finding the Third Proportional to 415,638 and 897,588

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Solution

The third proportional to 415,638 and 897,588 is: 1,938,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638 : 897,588 = 897,588 : x
  2. Step 2: Convert to fraction form
    415,638/897,588 = 897,588/x
  3. Step 3: Cross multiply
    415,638x = 897,588 × 897,588
  4. Step 4: Simplify right side
    415,638x = 805,664,217,744
  5. Step 5: Solve for x
    x = 805,664,217,744/415,638
  6. Step 6: Final answer
    x = 1,938,379.59

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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.