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Finding the Third Proportional to 210,322.50 and 305,884.50

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Solution

The third proportional to 210,322.50 and 305,884.50 is: 444,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,322.50 : 305,884.50 = 305,884.50 : x
  2. Step 2: Convert to fraction form
    210,322.50/305,884.50 = 305,884.50/x
  3. Step 3: Cross multiply
    210,322.50x = 305,884.50 × 305,884.50
  4. Step 4: Simplify right side
    210,322.50x = 93,565,327,340.25
  5. Step 5: Solve for x
    x = 93,565,327,340.25/210,322.50
  6. Step 6: Final answer
    x = 444,865.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.