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Finding the Third Proportional to 55,289 and 85,391

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Solution

The third proportional to 55,289 and 85,391 is: 131,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,289 : 85,391 = 85,391 : x
  2. Step 2: Convert to fraction form
    55,289/85,391 = 85,391/x
  3. Step 3: Cross multiply
    55,289x = 85,391 × 85,391
  4. Step 4: Simplify right side
    55,289x = 7,291,622,881
  5. Step 5: Solve for x
    x = 7,291,622,881/55,289
  6. Step 6: Final answer
    x = 131,881.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.