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Finding the Third Proportional to 7,881,976 and 11,879,339

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Solution

The third proportional to 7,881,976 and 11,879,339 is: 17,903,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,976 : 11,879,339 = 11,879,339 : x
  2. Step 2: Convert to fraction form
    7,881,976/11,879,339 = 11,879,339/x
  3. Step 3: Cross multiply
    7,881,976x = 11,879,339 × 11,879,339
  4. Step 4: Simplify right side
    7,881,976x = 141,118,695,076,921
  5. Step 5: Solve for x
    x = 141,118,695,076,921/7,881,976
  6. Step 6: Final answer
    x = 17,903,974.22

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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.