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Finding the Third Proportional to 315,465 and 476,961

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Solution

The third proportional to 315,465 and 476,961 is: 721,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,465 : 476,961 = 476,961 : x
  2. Step 2: Convert to fraction form
    315,465/476,961 = 476,961/x
  3. Step 3: Cross multiply
    315,465x = 476,961 × 476,961
  4. Step 4: Simplify right side
    315,465x = 227,491,795,521
  5. Step 5: Solve for x
    x = 227,491,795,521/315,465
  6. Step 6: Final answer
    x = 721,131.65

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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.