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Finding the Third Proportional to 402,080 and 622,832

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Solution

The third proportional to 402,080 and 622,832 is: 964,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,080 : 622,832 = 622,832 : x
  2. Step 2: Convert to fraction form
    402,080/622,832 = 622,832/x
  3. Step 3: Cross multiply
    402,080x = 622,832 × 622,832
  4. Step 4: Simplify right side
    402,080x = 387,919,700,224
  5. Step 5: Solve for x
    x = 387,919,700,224/402,080
  6. Step 6: Final answer
    x = 964,782.38

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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.