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Finding the Third Proportional to 315,467 and 476,964

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Solution

The third proportional to 315,467 and 476,964 is: 721,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,467 : 476,964 = 476,964 : x
  2. Step 2: Convert to fraction form
    315,467/476,964 = 476,964/x
  3. Step 3: Cross multiply
    315,467x = 476,964 × 476,964
  4. Step 4: Simplify right side
    315,467x = 227,494,657,296
  5. Step 5: Solve for x
    x = 227,494,657,296/315,467
  6. Step 6: Final answer
    x = 721,136.15

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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.