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Finding the Third Proportional to 85,420 and 186,929

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Solution

The third proportional to 85,420 and 186,929 is: 409,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,420 : 186,929 = 186,929 : x
  2. Step 2: Convert to fraction form
    85,420/186,929 = 186,929/x
  3. Step 3: Cross multiply
    85,420x = 186,929 × 186,929
  4. Step 4: Simplify right side
    85,420x = 34,942,451,041
  5. Step 5: Solve for x
    x = 34,942,451,041/85,420
  6. Step 6: Final answer
    x = 409,066.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.