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Finding the Third Proportional to 579,099 and 872,901

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Solution

The third proportional to 579,099 and 872,901 is: 1,315,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,099 : 872,901 = 872,901 : x
  2. Step 2: Convert to fraction form
    579,099/872,901 = 872,901/x
  3. Step 3: Cross multiply
    579,099x = 872,901 × 872,901
  4. Step 4: Simplify right side
    579,099x = 761,956,155,801
  5. Step 5: Solve for x
    x = 761,956,155,801/579,099
  6. Step 6: Final answer
    x = 1,315,761.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.