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Finding the Third Proportional to 129,039.75 and 277,851.94

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Solution

The third proportional to 129,039.75 and 277,851.94 is: 598,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,039.75 : 277,851.94 = 277,851.94 : x
  2. Step 2: Convert to fraction form
    129,039.75/277,851.94 = 277,851.94/x
  3. Step 3: Cross multiply
    129,039.75x = 277,851.94 × 277,851.94
  4. Step 4: Simplify right side
    129,039.75x = 77,201,699,172.50
  5. Step 5: Solve for x
    x = 77,201,699,172.50/129,039.75
  6. Step 6: Final answer
    x = 598,278.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.