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Finding the Third Proportional to 59,145 and 128,133

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Solution

The third proportional to 59,145 and 128,133 is: 277,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,145 : 128,133 = 128,133 : x
  2. Step 2: Convert to fraction form
    59,145/128,133 = 128,133/x
  3. Step 3: Cross multiply
    59,145x = 128,133 × 128,133
  4. Step 4: Simplify right side
    59,145x = 16,418,065,689
  5. Step 5: Solve for x
    x = 16,418,065,689/59,145
  6. Step 6: Final answer
    x = 277,590.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.