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Finding the Third Proportional to 128,137.50 and 280,413

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Solution

The third proportional to 128,137.50 and 280,413 is: 613,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,137.50 : 280,413 = 280,413 : x
  2. Step 2: Convert to fraction form
    128,137.50/280,413 = 280,413/x
  3. Step 3: Cross multiply
    128,137.50x = 280,413 × 280,413
  4. Step 4: Simplify right side
    128,137.50x = 78,631,450,569
  5. Step 5: Solve for x
    x = 78,631,450,569/128,137.50
  6. Step 6: Final answer
    x = 613,649.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.