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Finding the Third Proportional to 360,204.75 and 521,707.50

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Solution

The third proportional to 360,204.75 and 521,707.50 is: 755,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,204.75 : 521,707.50 = 521,707.50 : x
  2. Step 2: Convert to fraction form
    360,204.75/521,707.50 = 521,707.50/x
  3. Step 3: Cross multiply
    360,204.75x = 521,707.50 × 521,707.50
  4. Step 4: Simplify right side
    360,204.75x = 272,178,715,556.25
  5. Step 5: Solve for x
    x = 272,178,715,556.25/360,204.75
  6. Step 6: Final answer
    x = 755,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.