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Finding the Third Proportional to 415,541 and 897,520

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Solution

The third proportional to 415,541 and 897,520 is: 1,938,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,541 : 897,520 = 897,520 : x
  2. Step 2: Convert to fraction form
    415,541/897,520 = 897,520/x
  3. Step 3: Cross multiply
    415,541x = 897,520 × 897,520
  4. Step 4: Simplify right side
    415,541x = 805,542,150,400
  5. Step 5: Solve for x
    x = 805,542,150,400/415,541
  6. Step 6: Final answer
    x = 1,938,538.32

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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.