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Finding the Third Proportional to 12,844,972.50 and 21,086,957.25

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Solution

The third proportional to 12,844,972.50 and 21,086,957.25 is: 34,617,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844,972.50 : 21,086,957.25 = 21,086,957.25 : x
  2. Step 2: Convert to fraction form
    12,844,972.50/21,086,957.25 = 21,086,957.25/x
  3. Step 3: Cross multiply
    12,844,972.50x = 21,086,957.25 × 21,086,957.25
  4. Step 4: Simplify right side
    12,844,972.50x = 444,659,766,063,327.56
  5. Step 5: Solve for x
    x = 444,659,766,063,327.56/12,844,972.50
  6. Step 6: Final answer
    x = 34,617,416.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.