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Finding the Third Proportional to 59,535 and 130,734

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Solution

The third proportional to 59,535 and 130,734 is: 287,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535 : 130,734 = 130,734 : x
  2. Step 2: Convert to fraction form
    59,535/130,734 = 130,734/x
  3. Step 3: Cross multiply
    59,535x = 130,734 × 130,734
  4. Step 4: Simplify right side
    59,535x = 17,091,378,756
  5. Step 5: Solve for x
    x = 17,091,378,756/59,535
  6. Step 6: Final answer
    x = 287,081.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.