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Finding the Third Proportional to 282,977.44 and 428,111.16

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Solution

The third proportional to 282,977.44 and 428,111.16 is: 647,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,977.44 : 428,111.16 = 428,111.16 : x
  2. Step 2: Convert to fraction form
    282,977.44/428,111.16 = 428,111.16/x
  3. Step 3: Cross multiply
    282,977.44x = 428,111.16 × 428,111.16
  4. Step 4: Simplify right side
    282,977.44x = 183,279,162,105.71
  5. Step 5: Solve for x
    x = 183,279,162,105.71/282,977.44
  6. Step 6: Final answer
    x = 647,681.19

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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.