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Finding the Third Proportional to 7,881,977.25 and 11,879,343

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Solution

The third proportional to 7,881,977.25 and 11,879,343 is: 17,903,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,977.25 : 11,879,343 = 11,879,343 : x
  2. Step 2: Convert to fraction form
    7,881,977.25/11,879,343 = 11,879,343/x
  3. Step 3: Cross multiply
    7,881,977.25x = 11,879,343 × 11,879,343
  4. Step 4: Simplify right side
    7,881,977.25x = 141,118,790,111,649
  5. Step 5: Solve for x
    x = 141,118,790,111,649/7,881,977.25
  6. Step 6: Final answer
    x = 17,903,983.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.