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Finding the Third Proportional to 420,422 and 642,984

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Solution

The third proportional to 420,422 and 642,984 is: 983,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422 : 642,984 = 642,984 : x
  2. Step 2: Convert to fraction form
    420,422/642,984 = 642,984/x
  3. Step 3: Cross multiply
    420,422x = 642,984 × 642,984
  4. Step 4: Simplify right side
    420,422x = 413,428,424,256
  5. Step 5: Solve for x
    x = 413,428,424,256/420,422
  6. Step 6: Final answer
    x = 983,365.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.