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Finding the Third Proportional to 13,723,430 and 20,185,977

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Solution

The third proportional to 13,723,430 and 20,185,977 is: 29,691,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723,430 : 20,185,977 = 20,185,977 : x
  2. Step 2: Convert to fraction form
    13,723,430/20,185,977 = 20,185,977/x
  3. Step 3: Cross multiply
    13,723,430x = 20,185,977 × 20,185,977
  4. Step 4: Simplify right side
    13,723,430x = 407,473,667,444,529
  5. Step 5: Solve for x
    x = 407,473,667,444,529/13,723,430
  6. Step 6: Final answer
    x = 29,691,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.