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Finding the Third Proportional to 200,018 and 292,126

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Solution

The third proportional to 200,018 and 292,126 is: 426,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,018 : 292,126 = 292,126 : x
  2. Step 2: Convert to fraction form
    200,018/292,126 = 292,126/x
  3. Step 3: Cross multiply
    200,018x = 292,126 × 292,126
  4. Step 4: Simplify right side
    200,018x = 85,337,599,876
  5. Step 5: Solve for x
    x = 85,337,599,876/200,018
  6. Step 6: Final answer
    x = 426,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.