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Finding the Third Proportional to 313,904 and 403,048

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Solution

The third proportional to 313,904 and 403,048 is: 517,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 403,048 = 403,048 : x
  2. Step 2: Convert to fraction form
    313,904/403,048 = 403,048/x
  3. Step 3: Cross multiply
    313,904x = 403,048 × 403,048
  4. Step 4: Simplify right side
    313,904x = 162,447,690,304
  5. Step 5: Solve for x
    x = 162,447,690,304/313,904
  6. Step 6: Final answer
    x = 517,507.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.