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Finding the Third Proportional to 366,931 and 561,340

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Solution

The third proportional to 366,931 and 561,340 is: 858,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931 : 561,340 = 561,340 : x
  2. Step 2: Convert to fraction form
    366,931/561,340 = 561,340/x
  3. Step 3: Cross multiply
    366,931x = 561,340 × 561,340
  4. Step 4: Simplify right side
    366,931x = 315,102,595,600
  5. Step 5: Solve for x
    x = 315,102,595,600/366,931
  6. Step 6: Final answer
    x = 858,751.63

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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.