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Finding the Third Proportional to 402,046 and 621,962

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Solution

The third proportional to 402,046 and 621,962 is: 962,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,046 : 621,962 = 621,962 : x
  2. Step 2: Convert to fraction form
    402,046/621,962 = 621,962/x
  3. Step 3: Cross multiply
    402,046x = 621,962 × 621,962
  4. Step 4: Simplify right side
    402,046x = 386,836,729,444
  5. Step 5: Solve for x
    x = 386,836,729,444/402,046
  6. Step 6: Final answer
    x = 962,170.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.