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Finding the Third Proportional to 210,415.50 and 448,315.50

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Solution

The third proportional to 210,415.50 and 448,315.50 is: 955,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,415.50 : 448,315.50 = 448,315.50 : x
  2. Step 2: Convert to fraction form
    210,415.50/448,315.50 = 448,315.50/x
  3. Step 3: Cross multiply
    210,415.50x = 448,315.50 × 448,315.50
  4. Step 4: Simplify right side
    210,415.50x = 200,986,787,540.25
  5. Step 5: Solve for x
    x = 200,986,787,540.25/210,415.50
  6. Step 6: Final answer
    x = 955,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.