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Finding the Third Proportional to 133,397 and 314,891

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Solution

The third proportional to 133,397 and 314,891 is: 743,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,397 : 314,891 = 314,891 : x
  2. Step 2: Convert to fraction form
    133,397/314,891 = 314,891/x
  3. Step 3: Cross multiply
    133,397x = 314,891 × 314,891
  4. Step 4: Simplify right side
    133,397x = 99,156,341,881
  5. Step 5: Solve for x
    x = 99,156,341,881/133,397
  6. Step 6: Final answer
    x = 743,317.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.