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Finding the Third Proportional to 1,619,905.50 and 3,480,207.19

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Solution

The third proportional to 1,619,905.50 and 3,480,207.19 is: 7,476,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,905.50 : 3,480,207.19 = 3,480,207.19 : x
  2. Step 2: Convert to fraction form
    1,619,905.50/3,480,207.19 = 3,480,207.19/x
  3. Step 3: Cross multiply
    1,619,905.50x = 3,480,207.19 × 3,480,207.19
  4. Step 4: Simplify right side
    1,619,905.50x = 12,111,842,067,926.66
  5. Step 5: Solve for x
    x = 12,111,842,067,926.66/1,619,905.50
  6. Step 6: Final answer
    x = 7,476,881.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.