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Finding the Third Proportional to 425,845 and 921,818

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Solution

The third proportional to 425,845 and 921,818 is: 1,995,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,845 : 921,818 = 921,818 : x
  2. Step 2: Convert to fraction form
    425,845/921,818 = 921,818/x
  3. Step 3: Cross multiply
    425,845x = 921,818 × 921,818
  4. Step 4: Simplify right side
    425,845x = 849,748,425,124
  5. Step 5: Solve for x
    x = 849,748,425,124/425,845
  6. Step 6: Final answer
    x = 1,995,440.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.