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Finding the Third Proportional to 366,985 and 561,417

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Solution

The third proportional to 366,985 and 561,417 is: 858,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,985 : 561,417 = 561,417 : x
  2. Step 2: Convert to fraction form
    366,985/561,417 = 561,417/x
  3. Step 3: Cross multiply
    366,985x = 561,417 × 561,417
  4. Step 4: Simplify right side
    366,985x = 315,189,047,889
  5. Step 5: Solve for x
    x = 315,189,047,889/366,985
  6. Step 6: Final answer
    x = 858,860.85

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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.