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Finding the Third Proportional to 13,291,740 and 19,915,436.25

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Solution

The third proportional to 13,291,740 and 19,915,436.25 is: 29,839,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291,740 : 19,915,436.25 = 19,915,436.25 : x
  2. Step 2: Convert to fraction form
    13,291,740/19,915,436.25 = 19,915,436.25/x
  3. Step 3: Cross multiply
    13,291,740x = 19,915,436.25 × 19,915,436.25
  4. Step 4: Simplify right side
    13,291,740x = 396,624,601,027,814.06
  5. Step 5: Solve for x
    x = 396,624,601,027,814.06/13,291,740
  6. Step 6: Final answer
    x = 29,839,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.