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Finding the Third Proportional to 415,938 and 661,167

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Solution

The third proportional to 415,938 and 661,167 is: 1,050,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938 : 661,167 = 661,167 : x
  2. Step 2: Convert to fraction form
    415,938/661,167 = 661,167/x
  3. Step 3: Cross multiply
    415,938x = 661,167 × 661,167
  4. Step 4: Simplify right side
    415,938x = 437,141,801,889
  5. Step 5: Solve for x
    x = 437,141,801,889/415,938
  6. Step 6: Final answer
    x = 1,050,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.