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Finding the Third Proportional to 61,678.13 and 128,204.44

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Solution

The third proportional to 61,678.13 and 128,204.44 is: 266,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.13 : 128,204.44 = 128,204.44 : x
  2. Step 2: Convert to fraction form
    61,678.13/128,204.44 = 128,204.44/x
  3. Step 3: Cross multiply
    61,678.13x = 128,204.44 × 128,204.44
  4. Step 4: Simplify right side
    61,678.13x = 16,436,377,794.69
  5. Step 5: Solve for x
    x = 16,436,377,794.69/61,678.13
  6. Step 6: Final answer
    x = 266,486.34

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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.