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Finding the Third Proportional to 315,477 and 476,977

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Solution

The third proportional to 315,477 and 476,977 is: 721,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,477 : 476,977 = 476,977 : x
  2. Step 2: Convert to fraction form
    315,477/476,977 = 476,977/x
  3. Step 3: Cross multiply
    315,477x = 476,977 × 476,977
  4. Step 4: Simplify right side
    315,477x = 227,507,058,529
  5. Step 5: Solve for x
    x = 227,507,058,529/315,477
  6. Step 6: Final answer
    x = 721,152.60

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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.