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Finding the Third Proportional to 315,351 and 476,307

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Solution

The third proportional to 315,351 and 476,307 is: 719,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,351 : 476,307 = 476,307 : x
  2. Step 2: Convert to fraction form
    315,351/476,307 = 476,307/x
  3. Step 3: Cross multiply
    315,351x = 476,307 × 476,307
  4. Step 4: Simplify right side
    315,351x = 226,868,358,249
  5. Step 5: Solve for x
    x = 226,868,358,249/315,351
  6. Step 6: Final answer
    x = 719,415.38

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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.