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Finding the Third Proportional to 86,555 and 186,430

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Solution

The third proportional to 86,555 and 186,430 is: 401,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,555 : 186,430 = 186,430 : x
  2. Step 2: Convert to fraction form
    86,555/186,430 = 186,430/x
  3. Step 3: Cross multiply
    86,555x = 186,430 × 186,430
  4. Step 4: Simplify right side
    86,555x = 34,756,144,900
  5. Step 5: Solve for x
    x = 34,756,144,900/86,555
  6. Step 6: Final answer
    x = 401,549.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.