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Finding the Third Proportional to 205,282 and 426,890

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Solution

The third proportional to 205,282 and 426,890 is: 887,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,282 : 426,890 = 426,890 : x
  2. Step 2: Convert to fraction form
    205,282/426,890 = 426,890/x
  3. Step 3: Cross multiply
    205,282x = 426,890 × 426,890
  4. Step 4: Simplify right side
    205,282x = 182,235,072,100
  5. Step 5: Solve for x
    x = 182,235,072,100/205,282
  6. Step 6: Final answer
    x = 887,730.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.