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Finding the Third Proportional to 129,784.78 and 287,556.33

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Solution

The third proportional to 129,784.78 and 287,556.33 is: 637,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784.78 : 287,556.33 = 287,556.33 : x
  2. Step 2: Convert to fraction form
    129,784.78/287,556.33 = 287,556.33/x
  3. Step 3: Cross multiply
    129,784.78x = 287,556.33 × 287,556.33
  4. Step 4: Simplify right side
    129,784.78x = 82,688,641,844.73
  5. Step 5: Solve for x
    x = 82,688,641,844.73/129,784.78
  6. Step 6: Final answer
    x = 637,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.