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Finding the Third Proportional to 424,629 and 642,384

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Solution

The third proportional to 424,629 and 642,384 is: 971,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,629 : 642,384 = 642,384 : x
  2. Step 2: Convert to fraction form
    424,629/642,384 = 642,384/x
  3. Step 3: Cross multiply
    424,629x = 642,384 × 642,384
  4. Step 4: Simplify right side
    424,629x = 412,657,203,456
  5. Step 5: Solve for x
    x = 412,657,203,456/424,629
  6. Step 6: Final answer
    x = 971,806.46

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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.