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Finding the Third Proportional to 59,502 and 128,802

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Solution

The third proportional to 59,502 and 128,802 is: 278,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,502 : 128,802 = 128,802 : x
  2. Step 2: Convert to fraction form
    59,502/128,802 = 128,802/x
  3. Step 3: Cross multiply
    59,502x = 128,802 × 128,802
  4. Step 4: Simplify right side
    59,502x = 16,589,955,204
  5. Step 5: Solve for x
    x = 16,589,955,204/59,502
  6. Step 6: Final answer
    x = 278,813.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.