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Finding the Third Proportional to 280,426 and 423,983

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Solution

The third proportional to 280,426 and 423,983 is: 641,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426 : 423,983 = 423,983 : x
  2. Step 2: Convert to fraction form
    280,426/423,983 = 423,983/x
  3. Step 3: Cross multiply
    280,426x = 423,983 × 423,983
  4. Step 4: Simplify right side
    280,426x = 179,761,584,289
  5. Step 5: Solve for x
    x = 179,761,584,289/280,426
  6. Step 6: Final answer
    x = 641,030.38

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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.