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Finding the Third Proportional to 157,039 and 343,414

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Solution

The third proportional to 157,039 and 343,414 is: 750,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,039 : 343,414 = 343,414 : x
  2. Step 2: Convert to fraction form
    157,039/343,414 = 343,414/x
  3. Step 3: Cross multiply
    157,039x = 343,414 × 343,414
  4. Step 4: Simplify right side
    157,039x = 117,933,175,396
  5. Step 5: Solve for x
    x = 117,933,175,396/157,039
  6. Step 6: Final answer
    x = 750,980.17

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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.