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Finding the Third Proportional to 13,723,420 and 20,185,962

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Solution

The third proportional to 13,723,420 and 20,185,962 is: 29,691,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723,420 : 20,185,962 = 20,185,962 : x
  2. Step 2: Convert to fraction form
    13,723,420/20,185,962 = 20,185,962/x
  3. Step 3: Cross multiply
    13,723,420x = 20,185,962 × 20,185,962
  4. Step 4: Simplify right side
    13,723,420x = 407,473,061,865,444
  5. Step 5: Solve for x
    x = 407,473,061,865,444/13,723,420
  6. Step 6: Final answer
    x = 29,691,801.45

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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.