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Finding the Third Proportional to 200,512 and 439,658

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Solution

The third proportional to 200,512 and 439,658 is: 964,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512 : 439,658 = 439,658 : x
  2. Step 2: Convert to fraction form
    200,512/439,658 = 439,658/x
  3. Step 3: Cross multiply
    200,512x = 439,658 × 439,658
  4. Step 4: Simplify right side
    200,512x = 193,299,156,964
  5. Step 5: Solve for x
    x = 193,299,156,964/200,512
  6. Step 6: Final answer
    x = 964,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.