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Finding the Third Proportional to 280,267 and 402,904

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Solution

The third proportional to 280,267 and 402,904 is: 579,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,267 : 402,904 = 402,904 : x
  2. Step 2: Convert to fraction form
    280,267/402,904 = 402,904/x
  3. Step 3: Cross multiply
    280,267x = 402,904 × 402,904
  4. Step 4: Simplify right side
    280,267x = 162,331,633,216
  5. Step 5: Solve for x
    x = 162,331,633,216/280,267
  6. Step 6: Final answer
    x = 579,203.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.