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Finding the Third Proportional to 661,216.50 and 1,350,454.78

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Solution

The third proportional to 661,216.50 and 1,350,454.78 is: 2,758,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,216.50 : 1,350,454.78 = 1,350,454.78 : x
  2. Step 2: Convert to fraction form
    661,216.50/1,350,454.78 = 1,350,454.78/x
  3. Step 3: Cross multiply
    661,216.50x = 1,350,454.78 × 1,350,454.78
  4. Step 4: Simplify right side
    661,216.50x = 1,823,728,116,200.99
  5. Step 5: Solve for x
    x = 1,823,728,116,200.99/661,216.50
  6. Step 6: Final answer
    x = 2,758,140.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.