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Finding the Third Proportional to 157,911 and 345,345

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Solution

The third proportional to 157,911 and 345,345 is: 755,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,911 : 345,345 = 345,345 : x
  2. Step 2: Convert to fraction form
    157,911/345,345 = 345,345/x
  3. Step 3: Cross multiply
    157,911x = 345,345 × 345,345
  4. Step 4: Simplify right side
    157,911x = 119,263,169,025
  5. Step 5: Solve for x
    x = 119,263,169,025/157,911
  6. Step 6: Final answer
    x = 755,255.61

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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.