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Finding the Third Proportional to 321,858.56 and 472,928.63

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Solution

The third proportional to 321,858.56 and 472,928.63 is: 694,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,858.56 : 472,928.63 = 472,928.63 : x
  2. Step 2: Convert to fraction form
    321,858.56/472,928.63 = 472,928.63/x
  3. Step 3: Cross multiply
    321,858.56x = 472,928.63 × 472,928.63
  4. Step 4: Simplify right side
    321,858.56x = 223,661,484,344.39
  5. Step 5: Solve for x
    x = 223,661,484,344.39/321,858.56
  6. Step 6: Final answer
    x = 694,906.12

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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.