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Finding the Third Proportional to 382,986 and 606,160.50

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Solution

The third proportional to 382,986 and 606,160.50 is: 959,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,986 : 606,160.50 = 606,160.50 : x
  2. Step 2: Convert to fraction form
    382,986/606,160.50 = 606,160.50/x
  3. Step 3: Cross multiply
    382,986x = 606,160.50 × 606,160.50
  4. Step 4: Simplify right side
    382,986x = 367,430,551,760.25
  5. Step 5: Solve for x
    x = 367,430,551,760.25/382,986
  6. Step 6: Final answer
    x = 959,383.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.