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Finding the Third Proportional to 149,280 and 315,408

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Solution

The third proportional to 149,280 and 315,408 is: 666,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,280 : 315,408 = 315,408 : x
  2. Step 2: Convert to fraction form
    149,280/315,408 = 315,408/x
  3. Step 3: Cross multiply
    149,280x = 315,408 × 315,408
  4. Step 4: Simplify right side
    149,280x = 99,482,206,464
  5. Step 5: Solve for x
    x = 99,482,206,464/149,280
  6. Step 6: Final answer
    x = 666,413.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.