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Finding the Third Proportional to 220,498.13 and 310,519.50

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Solution

The third proportional to 220,498.13 and 310,519.50 is: 437,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,498.13 : 310,519.50 = 310,519.50 : x
  2. Step 2: Convert to fraction form
    220,498.13/310,519.50 = 310,519.50/x
  3. Step 3: Cross multiply
    220,498.13x = 310,519.50 × 310,519.50
  4. Step 4: Simplify right side
    220,498.13x = 96,422,359,880.25
  5. Step 5: Solve for x
    x = 96,422,359,880.25/220,498.13
  6. Step 6: Final answer
    x = 437,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.