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Finding the Third Proportional to 315,513 and 476,568

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Solution

The third proportional to 315,513 and 476,568 is: 719,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,513 : 476,568 = 476,568 : x
  2. Step 2: Convert to fraction form
    315,513/476,568 = 476,568/x
  3. Step 3: Cross multiply
    315,513x = 476,568 × 476,568
  4. Step 4: Simplify right side
    315,513x = 227,117,058,624
  5. Step 5: Solve for x
    x = 227,117,058,624/315,513
  6. Step 6: Final answer
    x = 719,834.23

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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.