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Finding the Third Proportional to 417,408 and 902,880

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Solution

The third proportional to 417,408 and 902,880 is: 1,952,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,408 : 902,880 = 902,880 : x
  2. Step 2: Convert to fraction form
    417,408/902,880 = 902,880/x
  3. Step 3: Cross multiply
    417,408x = 902,880 × 902,880
  4. Step 4: Simplify right side
    417,408x = 815,192,294,400
  5. Step 5: Solve for x
    x = 815,192,294,400/417,408
  6. Step 6: Final answer
    x = 1,952,986.75

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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.