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Finding the Third Proportional to 142,086 and 307,821

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Solution

The third proportional to 142,086 and 307,821 is: 666,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086 : 307,821 = 307,821 : x
  2. Step 2: Convert to fraction form
    142,086/307,821 = 307,821/x
  3. Step 3: Cross multiply
    142,086x = 307,821 × 307,821
  4. Step 4: Simplify right side
    142,086x = 94,753,768,041
  5. Step 5: Solve for x
    x = 94,753,768,041/142,086
  6. Step 6: Final answer
    x = 666,876.17

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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.