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Finding the Third Proportional to 205,322 and 307,146

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Solution

The third proportional to 205,322 and 307,146 is: 459,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322 : 307,146 = 307,146 : x
  2. Step 2: Convert to fraction form
    205,322/307,146 = 307,146/x
  3. Step 3: Cross multiply
    205,322x = 307,146 × 307,146
  4. Step 4: Simplify right side
    205,322x = 94,338,665,316
  5. Step 5: Solve for x
    x = 94,338,665,316/205,322
  6. Step 6: Final answer
    x = 459,466.91

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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.