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Finding the Third Proportional to 61,679.50 and 128,207

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Solution

The third proportional to 61,679.50 and 128,207 is: 266,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,679.50 : 128,207 = 128,207 : x
  2. Step 2: Convert to fraction form
    61,679.50/128,207 = 128,207/x
  3. Step 3: Cross multiply
    61,679.50x = 128,207 × 128,207
  4. Step 4: Simplify right side
    61,679.50x = 16,437,034,849
  5. Step 5: Solve for x
    x = 16,437,034,849/61,679.50
  6. Step 6: Final answer
    x = 266,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.