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Finding the Third Proportional to 432,921 and 928,891

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Solution

The third proportional to 432,921 and 928,891 is: 1,993,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,921 : 928,891 = 928,891 : x
  2. Step 2: Convert to fraction form
    432,921/928,891 = 928,891/x
  3. Step 3: Cross multiply
    432,921x = 928,891 × 928,891
  4. Step 4: Simplify right side
    432,921x = 862,838,489,881
  5. Step 5: Solve for x
    x = 862,838,489,881/432,921
  6. Step 6: Final answer
    x = 1,993,062.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.