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Finding the Third Proportional to 315,517 and 476,574

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Solution

The third proportional to 315,517 and 476,574 is: 719,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,517 : 476,574 = 476,574 : x
  2. Step 2: Convert to fraction form
    315,517/476,574 = 476,574/x
  3. Step 3: Cross multiply
    315,517x = 476,574 × 476,574
  4. Step 4: Simplify right side
    315,517x = 227,122,777,476
  5. Step 5: Solve for x
    x = 227,122,777,476/315,517
  6. Step 6: Final answer
    x = 719,843.23

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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.