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Finding the Third Proportional to 416,270 and 553,408

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Solution

The third proportional to 416,270 and 553,408 is: 735,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,270 : 553,408 = 553,408 : x
  2. Step 2: Convert to fraction form
    416,270/553,408 = 553,408/x
  3. Step 3: Cross multiply
    416,270x = 553,408 × 553,408
  4. Step 4: Simplify right side
    416,270x = 306,260,414,464
  5. Step 5: Solve for x
    x = 306,260,414,464/416,270
  6. Step 6: Final answer
    x = 735,725.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.