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Finding the Third Proportional to 366,943 and 561,358

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Solution

The third proportional to 366,943 and 561,358 is: 858,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,943 : 561,358 = 561,358 : x
  2. Step 2: Convert to fraction form
    366,943/561,358 = 561,358/x
  3. Step 3: Cross multiply
    366,943x = 561,358 × 561,358
  4. Step 4: Simplify right side
    366,943x = 315,122,804,164
  5. Step 5: Solve for x
    x = 315,122,804,164/366,943
  6. Step 6: Final answer
    x = 858,778.62

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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.