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Finding the Third Proportional to 366,991 and 561,430

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Solution

The third proportional to 366,991 and 561,430 is: 858,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,991 : 561,430 = 561,430 : x
  2. Step 2: Convert to fraction form
    366,991/561,430 = 561,430/x
  3. Step 3: Cross multiply
    366,991x = 561,430 × 561,430
  4. Step 4: Simplify right side
    366,991x = 315,203,644,900
  5. Step 5: Solve for x
    x = 315,203,644,900/366,991
  6. Step 6: Final answer
    x = 858,886.58

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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.