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Finding the Third Proportional to 86,073 and 186,440

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Solution

The third proportional to 86,073 and 186,440 is: 403,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,073 : 186,440 = 186,440 : x
  2. Step 2: Convert to fraction form
    86,073/186,440 = 186,440/x
  3. Step 3: Cross multiply
    86,073x = 186,440 × 186,440
  4. Step 4: Simplify right side
    86,073x = 34,759,873,600
  5. Step 5: Solve for x
    x = 34,759,873,600/86,073
  6. Step 6: Final answer
    x = 403,841.78

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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.