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Finding the Third Proportional to 157,228.50 and 349,287

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Solution

The third proportional to 157,228.50 and 349,287 is: 775,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,228.50 : 349,287 = 349,287 : x
  2. Step 2: Convert to fraction form
    157,228.50/349,287 = 349,287/x
  3. Step 3: Cross multiply
    157,228.50x = 349,287 × 349,287
  4. Step 4: Simplify right side
    157,228.50x = 122,001,408,369
  5. Step 5: Solve for x
    x = 122,001,408,369/157,228.50
  6. Step 6: Final answer
    x = 775,949.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.