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Finding the Third Proportional to 315,452 and 476,942

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Solution

The third proportional to 315,452 and 476,942 is: 721,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,452 : 476,942 = 476,942 : x
  2. Step 2: Convert to fraction form
    315,452/476,942 = 476,942/x
  3. Step 3: Cross multiply
    315,452x = 476,942 × 476,942
  4. Step 4: Simplify right side
    315,452x = 227,473,671,364
  5. Step 5: Solve for x
    x = 227,473,671,364/315,452
  6. Step 6: Final answer
    x = 721,103.91

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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.