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Finding the Third Proportional to 11,998,210.50 and 19,321,071.75

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Solution

The third proportional to 11,998,210.50 and 19,321,071.75 is: 31,113,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998,210.50 : 19,321,071.75 = 19,321,071.75 : x
  2. Step 2: Convert to fraction form
    11,998,210.50/19,321,071.75 = 19,321,071.75/x
  3. Step 3: Cross multiply
    11,998,210.50x = 19,321,071.75 × 19,321,071.75
  4. Step 4: Simplify right side
    11,998,210.50x = 373,303,813,568,648.06
  5. Step 5: Solve for x
    x = 373,303,813,568,648.06/11,998,210.50
  6. Step 6: Final answer
    x = 31,113,290.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.