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Finding the Third Proportional to 282,470 and 395,880

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Solution

The third proportional to 282,470 and 395,880 is: 554,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,470 : 395,880 = 395,880 : x
  2. Step 2: Convert to fraction form
    282,470/395,880 = 395,880/x
  3. Step 3: Cross multiply
    282,470x = 395,880 × 395,880
  4. Step 4: Simplify right side
    282,470x = 156,720,974,400
  5. Step 5: Solve for x
    x = 156,720,974,400/282,470
  6. Step 6: Final answer
    x = 554,823.43

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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.