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Finding the Third Proportional to 139,446 and 286,305

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Solution

The third proportional to 139,446 and 286,305 is: 587,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,446 : 286,305 = 286,305 : x
  2. Step 2: Convert to fraction form
    139,446/286,305 = 286,305/x
  3. Step 3: Cross multiply
    139,446x = 286,305 × 286,305
  4. Step 4: Simplify right side
    139,446x = 81,970,553,025
  5. Step 5: Solve for x
    x = 81,970,553,025/139,446
  6. Step 6: Final answer
    x = 587,830.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.