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Finding the Third Proportional to 366,931 and 561,339

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Solution

The third proportional to 366,931 and 561,339 is: 858,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931 : 561,339 = 561,339 : x
  2. Step 2: Convert to fraction form
    366,931/561,339 = 561,339/x
  3. Step 3: Cross multiply
    366,931x = 561,339 × 561,339
  4. Step 4: Simplify right side
    366,931x = 315,101,472,921
  5. Step 5: Solve for x
    x = 315,101,472,921/366,931
  6. Step 6: Final answer
    x = 858,748.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.