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Finding the Third Proportional to 157,780 and 343,208

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Solution

The third proportional to 157,780 and 343,208 is: 746,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,780 : 343,208 = 343,208 : x
  2. Step 2: Convert to fraction form
    157,780/343,208 = 343,208/x
  3. Step 3: Cross multiply
    157,780x = 343,208 × 343,208
  4. Step 4: Simplify right side
    157,780x = 117,791,731,264
  5. Step 5: Solve for x
    x = 117,791,731,264/157,780
  6. Step 6: Final answer
    x = 746,556.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.