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Finding the Third Proportional to 402,159 and 622,131.50

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Solution

The third proportional to 402,159 and 622,131.50 is: 962,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,159 : 622,131.50 = 622,131.50 : x
  2. Step 2: Convert to fraction form
    402,159/622,131.50 = 622,131.50/x
  3. Step 3: Cross multiply
    402,159x = 622,131.50 × 622,131.50
  4. Step 4: Simplify right side
    402,159x = 387,047,603,292.25
  5. Step 5: Solve for x
    x = 387,047,603,292.25/402,159
  6. Step 6: Final answer
    x = 962,424.32

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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.