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Finding the Third Proportional to 129,053.25 and 277,880.63

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Solution

The third proportional to 129,053.25 and 277,880.63 is: 598,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053.25 : 277,880.63 = 277,880.63 : x
  2. Step 2: Convert to fraction form
    129,053.25/277,880.63 = 277,880.63/x
  3. Step 3: Cross multiply
    129,053.25x = 277,880.63 × 277,880.63
  4. Step 4: Simplify right side
    129,053.25x = 77,217,641,750.39
  5. Step 5: Solve for x
    x = 77,217,641,750.39/129,053.25
  6. Step 6: Final answer
    x = 598,339.38

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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.