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Finding the Third Proportional to 12,661,125.19 and 19,617,202.69

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Solution

The third proportional to 12,661,125.19 and 19,617,202.69 is: 30,394,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661,125.19 : 19,617,202.69 = 19,617,202.69 : x
  2. Step 2: Convert to fraction form
    12,661,125.19/19,617,202.69 = 19,617,202.69/x
  3. Step 3: Cross multiply
    12,661,125.19x = 19,617,202.69 × 19,617,202.69
  4. Step 4: Simplify right side
    12,661,125.19x = 384,834,641,282,457.25
  5. Step 5: Solve for x
    x = 384,834,641,282,457.25/12,661,125.19
  6. Step 6: Final answer
    x = 30,394,979.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.