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Finding the Third Proportional to 157,923 and 345,369

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Solution

The third proportional to 157,923 and 345,369 is: 755,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,923 : 345,369 = 345,369 : x
  2. Step 2: Convert to fraction form
    157,923/345,369 = 345,369/x
  3. Step 3: Cross multiply
    157,923x = 345,369 × 345,369
  4. Step 4: Simplify right side
    157,923x = 119,279,746,161
  5. Step 5: Solve for x
    x = 119,279,746,161/157,923
  6. Step 6: Final answer
    x = 755,303.19

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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.