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Finding the Third Proportional to 310,854.75 and 494,307

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Solution

The third proportional to 310,854.75 and 494,307 is: 786,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,854.75 : 494,307 = 494,307 : x
  2. Step 2: Convert to fraction form
    310,854.75/494,307 = 494,307/x
  3. Step 3: Cross multiply
    310,854.75x = 494,307 × 494,307
  4. Step 4: Simplify right side
    310,854.75x = 244,339,410,249
  5. Step 5: Solve for x
    x = 244,339,410,249/310,854.75
  6. Step 6: Final answer
    x = 786,024.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.