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Finding the Third Proportional to 55,646 and 85,311

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Solution

The third proportional to 55,646 and 85,311 is: 130,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646 : 85,311 = 85,311 : x
  2. Step 2: Convert to fraction form
    55,646/85,311 = 85,311/x
  3. Step 3: Cross multiply
    55,646x = 85,311 × 85,311
  4. Step 4: Simplify right side
    55,646x = 7,277,966,721
  5. Step 5: Solve for x
    x = 7,277,966,721/55,646
  6. Step 6: Final answer
    x = 130,790.47

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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.