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Finding the Third Proportional to 282,980 and 428,115

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Solution

The third proportional to 282,980 and 428,115 is: 647,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,980 : 428,115 = 428,115 : x
  2. Step 2: Convert to fraction form
    282,980/428,115 = 428,115/x
  3. Step 3: Cross multiply
    282,980x = 428,115 × 428,115
  4. Step 4: Simplify right side
    282,980x = 183,282,453,225
  5. Step 5: Solve for x
    x = 183,282,453,225/282,980
  6. Step 6: Final answer
    x = 647,686.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.