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Finding the Third Proportional to 162,812 and 347,130

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Solution

The third proportional to 162,812 and 347,130 is: 740,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,812 : 347,130 = 347,130 : x
  2. Step 2: Convert to fraction form
    162,812/347,130 = 347,130/x
  3. Step 3: Cross multiply
    162,812x = 347,130 × 347,130
  4. Step 4: Simplify right side
    162,812x = 120,499,236,900
  5. Step 5: Solve for x
    x = 120,499,236,900/162,812
  6. Step 6: Final answer
    x = 740,112.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.