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Finding the Third Proportional to 157,796 and 343,240

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Solution

The third proportional to 157,796 and 343,240 is: 746,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,796 : 343,240 = 343,240 : x
  2. Step 2: Convert to fraction form
    157,796/343,240 = 343,240/x
  3. Step 3: Cross multiply
    157,796x = 343,240 × 343,240
  4. Step 4: Simplify right side
    157,796x = 117,813,697,600
  5. Step 5: Solve for x
    x = 117,813,697,600/157,796
  6. Step 6: Final answer
    x = 746,620.30

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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.