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Finding the Third Proportional to 86,543 and 186,910

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Solution

The third proportional to 86,543 and 186,910 is: 403,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543 : 186,910 = 186,910 : x
  2. Step 2: Convert to fraction form
    86,543/186,910 = 186,910/x
  3. Step 3: Cross multiply
    86,543x = 186,910 × 186,910
  4. Step 4: Simplify right side
    86,543x = 34,935,348,100
  5. Step 5: Solve for x
    x = 34,935,348,100/86,543
  6. Step 6: Final answer
    x = 403,676.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.