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Finding the Third Proportional to 210,646 and 342,227

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Solution

The third proportional to 210,646 and 342,227 is: 556,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,646 : 342,227 = 342,227 : x
  2. Step 2: Convert to fraction form
    210,646/342,227 = 342,227/x
  3. Step 3: Cross multiply
    210,646x = 342,227 × 342,227
  4. Step 4: Simplify right side
    210,646x = 117,119,319,529
  5. Step 5: Solve for x
    x = 117,119,319,529/210,646
  6. Step 6: Final answer
    x = 556,000.68

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.