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Finding the Third Proportional to 642,816 and 951,102

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Solution

The third proportional to 642,816 and 951,102 is: 1,407,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,816 : 951,102 = 951,102 : x
  2. Step 2: Convert to fraction form
    642,816/951,102 = 951,102/x
  3. Step 3: Cross multiply
    642,816x = 951,102 × 951,102
  4. Step 4: Simplify right side
    642,816x = 904,595,014,404
  5. Step 5: Solve for x
    x = 904,595,014,404/642,816
  6. Step 6: Final answer
    x = 1,407,237.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.