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Finding the Third Proportional to 85,299 and 130,556.25

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Solution

The third proportional to 85,299 and 130,556.25 is: 199,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299 : 130,556.25 = 130,556.25 : x
  2. Step 2: Convert to fraction form
    85,299/130,556.25 = 130,556.25/x
  3. Step 3: Cross multiply
    85,299x = 130,556.25 × 130,556.25
  4. Step 4: Simplify right side
    85,299x = 17,044,934,414.06
  5. Step 5: Solve for x
    x = 17,044,934,414.06/85,299
  6. Step 6: Final answer
    x = 199,825.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.