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Finding the Third Proportional to 55,785 and 117,309

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Solution

The third proportional to 55,785 and 117,309 is: 246,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785 : 117,309 = 117,309 : x
  2. Step 2: Convert to fraction form
    55,785/117,309 = 117,309/x
  3. Step 3: Cross multiply
    55,785x = 117,309 × 117,309
  4. Step 4: Simplify right side
    55,785x = 13,761,401,481
  5. Step 5: Solve for x
    x = 13,761,401,481/55,785
  6. Step 6: Final answer
    x = 246,686.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.