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Finding the Third Proportional to 1,447,393.50 and 2,128,989.94

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Solution

The third proportional to 1,447,393.50 and 2,128,989.94 is: 3,131,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,393.50 : 2,128,989.94 = 2,128,989.94 : x
  2. Step 2: Convert to fraction form
    1,447,393.50/2,128,989.94 = 2,128,989.94/x
  3. Step 3: Cross multiply
    1,447,393.50x = 2,128,989.94 × 2,128,989.94
  4. Step 4: Simplify right side
    1,447,393.50x = 4,532,598,153,976.25
  5. Step 5: Solve for x
    x = 4,532,598,153,976.25/1,447,393.50
  6. Step 6: Final answer
    x = 3,131,559.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.