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Finding the Third Proportional to 282,420 and 395,017

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Solution

The third proportional to 282,420 and 395,017 is: 552,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420 : 395,017 = 395,017 : x
  2. Step 2: Convert to fraction form
    282,420/395,017 = 395,017/x
  3. Step 3: Cross multiply
    282,420x = 395,017 × 395,017
  4. Step 4: Simplify right side
    282,420x = 156,038,430,289
  5. Step 5: Solve for x
    x = 156,038,430,289/282,420
  6. Step 6: Final answer
    x = 552,504.89

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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.