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Finding the Third Proportional to 282,368 and 395,769

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Solution

The third proportional to 282,368 and 395,769 is: 554,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,368 : 395,769 = 395,769 : x
  2. Step 2: Convert to fraction form
    282,368/395,769 = 395,769/x
  3. Step 3: Cross multiply
    282,368x = 395,769 × 395,769
  4. Step 4: Simplify right side
    282,368x = 156,633,101,361
  5. Step 5: Solve for x
    x = 156,633,101,361/282,368
  6. Step 6: Final answer
    x = 554,712.65

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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.