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Finding the Third Proportional to 55,546 and 86,033

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Solution

The third proportional to 55,546 and 86,033 is: 133,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546 : 86,033 = 86,033 : x
  2. Step 2: Convert to fraction form
    55,546/86,033 = 86,033/x
  3. Step 3: Cross multiply
    55,546x = 86,033 × 86,033
  4. Step 4: Simplify right side
    55,546x = 7,401,677,089
  5. Step 5: Solve for x
    x = 7,401,677,089/55,546
  6. Step 6: Final answer
    x = 133,253.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.