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Finding the Third Proportional to 86,140 and 182,717

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Solution

The third proportional to 86,140 and 182,717 is: 387,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,140 : 182,717 = 182,717 : x
  2. Step 2: Convert to fraction form
    86,140/182,717 = 182,717/x
  3. Step 3: Cross multiply
    86,140x = 182,717 × 182,717
  4. Step 4: Simplify right side
    86,140x = 33,385,502,089
  5. Step 5: Solve for x
    x = 33,385,502,089/86,140
  6. Step 6: Final answer
    x = 387,572.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.