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Finding the Third Proportional to 415,604 and 897,517

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Solution

The third proportional to 415,604 and 897,517 is: 1,938,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,604 : 897,517 = 897,517 : x
  2. Step 2: Convert to fraction form
    415,604/897,517 = 897,517/x
  3. Step 3: Cross multiply
    415,604x = 897,517 × 897,517
  4. Step 4: Simplify right side
    415,604x = 805,536,765,289
  5. Step 5: Solve for x
    x = 805,536,765,289/415,604
  6. Step 6: Final answer
    x = 1,938,231.50

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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.