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Finding the Third Proportional to 642,828 and 951,120

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Solution

The third proportional to 642,828 and 951,120 is: 1,407,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,828 : 951,120 = 951,120 : x
  2. Step 2: Convert to fraction form
    642,828/951,120 = 951,120/x
  3. Step 3: Cross multiply
    642,828x = 951,120 × 951,120
  4. Step 4: Simplify right side
    642,828x = 904,629,254,400
  5. Step 5: Solve for x
    x = 904,629,254,400/642,828
  6. Step 6: Final answer
    x = 1,407,264.86

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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.