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Finding the Third Proportional to 157,928 and 345,379

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Solution

The third proportional to 157,928 and 345,379 is: 755,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,928 : 345,379 = 345,379 : x
  2. Step 2: Convert to fraction form
    157,928/345,379 = 345,379/x
  3. Step 3: Cross multiply
    157,928x = 345,379 × 345,379
  4. Step 4: Simplify right side
    157,928x = 119,286,653,641
  5. Step 5: Solve for x
    x = 119,286,653,641/157,928
  6. Step 6: Final answer
    x = 755,323.02

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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.