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Finding the Third Proportional to 59,179 and 128,207

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Solution

The third proportional to 59,179 and 128,207 is: 277,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,179 : 128,207 = 128,207 : x
  2. Step 2: Convert to fraction form
    59,179/128,207 = 128,207/x
  3. Step 3: Cross multiply
    59,179x = 128,207 × 128,207
  4. Step 4: Simplify right side
    59,179x = 16,437,034,849
  5. Step 5: Solve for x
    x = 16,437,034,849/59,179
  6. Step 6: Final answer
    x = 277,751.14

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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.