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Finding the Third Proportional to 421,544.25 and 913,619.25

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Solution

The third proportional to 421,544.25 and 913,619.25 is: 1,980,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,544.25 : 913,619.25 = 913,619.25 : x
  2. Step 2: Convert to fraction form
    421,544.25/913,619.25 = 913,619.25/x
  3. Step 3: Cross multiply
    421,544.25x = 913,619.25 × 913,619.25
  4. Step 4: Simplify right side
    421,544.25x = 834,700,133,970.56
  5. Step 5: Solve for x
    x = 834,700,133,970.56/421,544.25
  6. Step 6: Final answer
    x = 1,980,100.86

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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.