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Finding the Third Proportional to 131,994 and 311,283

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Solution

The third proportional to 131,994 and 311,283 is: 734,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,994 : 311,283 = 311,283 : x
  2. Step 2: Convert to fraction form
    131,994/311,283 = 311,283/x
  3. Step 3: Cross multiply
    131,994x = 311,283 × 311,283
  4. Step 4: Simplify right side
    131,994x = 96,897,106,089
  5. Step 5: Solve for x
    x = 96,897,106,089/131,994
  6. Step 6: Final answer
    x = 734,102.35

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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.