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Finding the Third Proportional to 157,493 and 345,607

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Solution

The third proportional to 157,493 and 345,607 is: 758,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,493 : 345,607 = 345,607 : x
  2. Step 2: Convert to fraction form
    157,493/345,607 = 345,607/x
  3. Step 3: Cross multiply
    157,493x = 345,607 × 345,607
  4. Step 4: Simplify right side
    157,493x = 119,444,198,449
  5. Step 5: Solve for x
    x = 119,444,198,449/157,493
  6. Step 6: Final answer
    x = 758,409.57

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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.