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Finding the Third Proportional to 642,751 and 1,227,181

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Solution

The third proportional to 642,751 and 1,227,181 is: 2,343,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,751 : 1,227,181 = 1,227,181 : x
  2. Step 2: Convert to fraction form
    642,751/1,227,181 = 1,227,181/x
  3. Step 3: Cross multiply
    642,751x = 1,227,181 × 1,227,181
  4. Step 4: Simplify right side
    642,751x = 1,505,973,206,761
  5. Step 5: Solve for x
    x = 1,505,973,206,761/642,751
  6. Step 6: Final answer
    x = 2,343,011.85

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.