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Finding the Third Proportional to 424,035 and 921,690

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Solution

The third proportional to 424,035 and 921,690 is: 2,003,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,035 : 921,690 = 921,690 : x
  2. Step 2: Convert to fraction form
    424,035/921,690 = 921,690/x
  3. Step 3: Cross multiply
    424,035x = 921,690 × 921,690
  4. Step 4: Simplify right side
    424,035x = 849,512,456,100
  5. Step 5: Solve for x
    x = 849,512,456,100/424,035
  6. Step 6: Final answer
    x = 2,003,401.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.