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Finding the Third Proportional to 282,987 and 428,127.75

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Solution

The third proportional to 282,987 and 428,127.75 is: 647,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,987 : 428,127.75 = 428,127.75 : x
  2. Step 2: Convert to fraction form
    282,987/428,127.75 = 428,127.75/x
  3. Step 3: Cross multiply
    282,987x = 428,127.75 × 428,127.75
  4. Step 4: Simplify right side
    282,987x = 183,293,370,320.06
  5. Step 5: Solve for x
    x = 183,293,370,320.06/282,987
  6. Step 6: Final answer
    x = 647,709.51

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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.