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Finding the Third Proportional to 55,588 and 85,985

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Solution

The third proportional to 55,588 and 85,985 is: 133,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,588 : 85,985 = 85,985 : x
  2. Step 2: Convert to fraction form
    55,588/85,985 = 85,985/x
  3. Step 3: Cross multiply
    55,588x = 85,985 × 85,985
  4. Step 4: Simplify right side
    55,588x = 7,393,420,225
  5. Step 5: Solve for x
    x = 7,393,420,225/55,588
  6. Step 6: Final answer
    x = 133,003.89

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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.