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Finding the Third Proportional to 205,272 and 307,089

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Solution

The third proportional to 205,272 and 307,089 is: 459,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,272 : 307,089 = 307,089 : x
  2. Step 2: Convert to fraction form
    205,272/307,089 = 307,089/x
  3. Step 3: Cross multiply
    205,272x = 307,089 × 307,089
  4. Step 4: Simplify right side
    205,272x = 94,303,653,921
  5. Step 5: Solve for x
    x = 94,303,653,921/205,272
  6. Step 6: Final answer
    x = 459,408.27

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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.