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Finding the Third Proportional to 280,587 and 421,205

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Solution

The third proportional to 280,587 and 421,205 is: 632,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,587 : 421,205 = 421,205 : x
  2. Step 2: Convert to fraction form
    280,587/421,205 = 421,205/x
  3. Step 3: Cross multiply
    280,587x = 421,205 × 421,205
  4. Step 4: Simplify right side
    280,587x = 177,413,652,025
  5. Step 5: Solve for x
    x = 177,413,652,025/280,587
  6. Step 6: Final answer
    x = 632,294.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.