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Finding the Third Proportional to 55,412 and 75,340

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Solution

The third proportional to 55,412 and 75,340 is: 102,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,412 : 75,340 = 75,340 : x
  2. Step 2: Convert to fraction form
    55,412/75,340 = 75,340/x
  3. Step 3: Cross multiply
    55,412x = 75,340 × 75,340
  4. Step 4: Simplify right side
    55,412x = 5,676,115,600
  5. Step 5: Solve for x
    x = 5,676,115,600/55,412
  6. Step 6: Final answer
    x = 102,434.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.