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Finding the Third Proportional to 35,690 and 55,511

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Solution

The third proportional to 35,690 and 55,511 is: 86,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690 : 55,511 = 55,511 : x
  2. Step 2: Convert to fraction form
    35,690/55,511 = 55,511/x
  3. Step 3: Cross multiply
    35,690x = 55,511 × 55,511
  4. Step 4: Simplify right side
    35,690x = 3,081,471,121
  5. Step 5: Solve for x
    x = 3,081,471,121/35,690
  6. Step 6: Final answer
    x = 86,339.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.