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Finding the Third Proportional to 289,177.50 and 613,347

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Solution

The third proportional to 289,177.50 and 613,347 is: 1,300,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,177.50 : 613,347 = 613,347 : x
  2. Step 2: Convert to fraction form
    289,177.50/613,347 = 613,347/x
  3. Step 3: Cross multiply
    289,177.50x = 613,347 × 613,347
  4. Step 4: Simplify right side
    289,177.50x = 376,194,542,409
  5. Step 5: Solve for x
    x = 376,194,542,409/289,177.50
  6. Step 6: Final answer
    x = 1,300,912.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.