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Finding the Third Proportional to 387,512 and 581,652

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Solution

The third proportional to 387,512 and 581,652 is: 873,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,512 : 581,652 = 581,652 : x
  2. Step 2: Convert to fraction form
    387,512/581,652 = 581,652/x
  3. Step 3: Cross multiply
    387,512x = 581,652 × 581,652
  4. Step 4: Simplify right side
    387,512x = 338,319,049,104
  5. Step 5: Solve for x
    x = 338,319,049,104/387,512
  6. Step 6: Final answer
    x = 873,054.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.