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Finding the Third Proportional to 139,827 and 302,982

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Solution

The third proportional to 139,827 and 302,982 is: 656,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,827 : 302,982 = 302,982 : x
  2. Step 2: Convert to fraction form
    139,827/302,982 = 302,982/x
  3. Step 3: Cross multiply
    139,827x = 302,982 × 302,982
  4. Step 4: Simplify right side
    139,827x = 91,798,092,324
  5. Step 5: Solve for x
    x = 91,798,092,324/139,827
  6. Step 6: Final answer
    x = 656,511.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.