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Finding the Third Proportional to 59,169 and 128,706

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Solution

The third proportional to 59,169 and 128,706 is: 279,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,169 : 128,706 = 128,706 : x
  2. Step 2: Convert to fraction form
    59,169/128,706 = 128,706/x
  3. Step 3: Cross multiply
    59,169x = 128,706 × 128,706
  4. Step 4: Simplify right side
    59,169x = 16,565,234,436
  5. Step 5: Solve for x
    x = 16,565,234,436/59,169
  6. Step 6: Final answer
    x = 279,964.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.