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Finding the Third Proportional to 157,503 and 345,627

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Solution

The third proportional to 157,503 and 345,627 is: 758,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,503 : 345,627 = 345,627 : x
  2. Step 2: Convert to fraction form
    157,503/345,627 = 345,627/x
  3. Step 3: Cross multiply
    157,503x = 345,627 × 345,627
  4. Step 4: Simplify right side
    157,503x = 119,458,023,129
  5. Step 5: Solve for x
    x = 119,458,023,129/157,503
  6. Step 6: Final answer
    x = 758,449.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.