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Finding the Third Proportional to 157,041 and 343,418

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Solution

The third proportional to 157,041 and 343,418 is: 750,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041 : 343,418 = 343,418 : x
  2. Step 2: Convert to fraction form
    157,041/343,418 = 343,418/x
  3. Step 3: Cross multiply
    157,041x = 343,418 × 343,418
  4. Step 4: Simplify right side
    157,041x = 117,935,922,724
  5. Step 5: Solve for x
    x = 117,935,922,724/157,041
  6. Step 6: Final answer
    x = 750,988.10

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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.