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Finding the Third Proportional to 402,156 and 622,127.25

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Solution

The third proportional to 402,156 and 622,127.25 is: 962,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,156 : 622,127.25 = 622,127.25 : x
  2. Step 2: Convert to fraction form
    402,156/622,127.25 = 622,127.25/x
  3. Step 3: Cross multiply
    402,156x = 622,127.25 × 622,127.25
  4. Step 4: Simplify right side
    402,156x = 387,042,315,192.56
  5. Step 5: Solve for x
    x = 387,042,315,192.56/402,156
  6. Step 6: Final answer
    x = 962,418.35

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