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Finding the Third Proportional to 55,850 and 85,305

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Solution

The third proportional to 55,850 and 85,305 is: 130,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,850 : 85,305 = 85,305 : x
  2. Step 2: Convert to fraction form
    55,850/85,305 = 85,305/x
  3. Step 3: Cross multiply
    55,850x = 85,305 × 85,305
  4. Step 4: Simplify right side
    55,850x = 7,276,943,025
  5. Step 5: Solve for x
    x = 7,276,943,025/55,850
  6. Step 6: Final answer
    x = 130,294.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.