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Finding the Third Proportional to 315,115 and 471,571

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Solution

The third proportional to 315,115 and 471,571 is: 705,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,115 : 471,571 = 471,571 : x
  2. Step 2: Convert to fraction form
    315,115/471,571 = 471,571/x
  3. Step 3: Cross multiply
    315,115x = 471,571 × 471,571
  4. Step 4: Simplify right side
    315,115x = 222,379,208,041
  5. Step 5: Solve for x
    x = 222,379,208,041/315,115
  6. Step 6: Final answer
    x = 705,708.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.