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Finding the Third Proportional to 282,546 and 395,991

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Solution

The third proportional to 282,546 and 395,991 is: 554,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,546 : 395,991 = 395,991 : x
  2. Step 2: Convert to fraction form
    282,546/395,991 = 395,991/x
  3. Step 3: Cross multiply
    282,546x = 395,991 × 395,991
  4. Step 4: Simplify right side
    282,546x = 156,808,872,081
  5. Step 5: Solve for x
    x = 156,808,872,081/282,546
  6. Step 6: Final answer
    x = 554,985.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.