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Finding the Third Proportional to 305,491.50 and 661,830.75

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Solution

The third proportional to 305,491.50 and 661,830.75 is: 1,433,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,491.50 : 661,830.75 = 661,830.75 : x
  2. Step 2: Convert to fraction form
    305,491.50/661,830.75 = 661,830.75/x
  3. Step 3: Cross multiply
    305,491.50x = 661,830.75 × 661,830.75
  4. Step 4: Simplify right side
    305,491.50x = 438,019,941,645.56
  5. Step 5: Solve for x
    x = 438,019,941,645.56/305,491.50
  6. Step 6: Final answer
    x = 1,433,820.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.