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Finding the Third Proportional to 13,724,200 and 20,187,020

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Solution

The third proportional to 13,724,200 and 20,187,020 is: 29,693,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,200 : 20,187,020 = 20,187,020 : x
  2. Step 2: Convert to fraction form
    13,724,200/20,187,020 = 20,187,020/x
  3. Step 3: Cross multiply
    13,724,200x = 20,187,020 × 20,187,020
  4. Step 4: Simplify right side
    13,724,200x = 407,515,776,480,400
  5. Step 5: Solve for x
    x = 407,515,776,480,400/13,724,200
  6. Step 6: Final answer
    x = 29,693,226.31

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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.