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Finding the Third Proportional to 162,872 and 343,240

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Solution

The third proportional to 162,872 and 343,240 is: 723,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,872 : 343,240 = 343,240 : x
  2. Step 2: Convert to fraction form
    162,872/343,240 = 343,240/x
  3. Step 3: Cross multiply
    162,872x = 343,240 × 343,240
  4. Step 4: Simplify right side
    162,872x = 117,813,697,600
  5. Step 5: Solve for x
    x = 117,813,697,600/162,872
  6. Step 6: Final answer
    x = 723,351.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.