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Finding the Third Proportional to 133,369 and 314,815

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Solution

The third proportional to 133,369 and 314,815 is: 743,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,369 : 314,815 = 314,815 : x
  2. Step 2: Convert to fraction form
    133,369/314,815 = 314,815/x
  3. Step 3: Cross multiply
    133,369x = 314,815 × 314,815
  4. Step 4: Simplify right side
    133,369x = 99,108,484,225
  5. Step 5: Solve for x
    x = 99,108,484,225/133,369
  6. Step 6: Final answer
    x = 743,114.85

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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.