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Finding the Third Proportional to 280,324.38 and 423,830.63

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Solution

The third proportional to 280,324.38 and 423,830.63 is: 640,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,324.38 : 423,830.63 = 423,830.63 : x
  2. Step 2: Convert to fraction form
    280,324.38/423,830.63 = 423,830.63/x
  3. Step 3: Cross multiply
    280,324.38x = 423,830.63 × 423,830.63
  4. Step 4: Simplify right side
    280,324.38x = 179,632,398,687.89
  5. Step 5: Solve for x
    x = 179,632,398,687.89/280,324.38
  6. Step 6: Final answer
    x = 640,801.92

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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.