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Finding the Third Proportional to 157,227 and 349,284

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Solution

The third proportional to 157,227 and 349,284 is: 775,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,227 : 349,284 = 349,284 : x
  2. Step 2: Convert to fraction form
    157,227/349,284 = 349,284/x
  3. Step 3: Cross multiply
    157,227x = 349,284 × 349,284
  4. Step 4: Simplify right side
    157,227x = 121,999,312,656
  5. Step 5: Solve for x
    x = 121,999,312,656/157,227
  6. Step 6: Final answer
    x = 775,943.78

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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.