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Finding the Third Proportional to 315,515 and 476,571

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Solution

The third proportional to 315,515 and 476,571 is: 719,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,515 : 476,571 = 476,571 : x
  2. Step 2: Convert to fraction form
    315,515/476,571 = 476,571/x
  3. Step 3: Cross multiply
    315,515x = 476,571 × 476,571
  4. Step 4: Simplify right side
    315,515x = 227,119,918,041
  5. Step 5: Solve for x
    x = 227,119,918,041/315,515
  6. Step 6: Final answer
    x = 719,838.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.