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Finding the Third Proportional to 12,986,216 and 20,186,652

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Solution

The third proportional to 12,986,216 and 20,186,652 is: 31,379,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986,216 : 20,186,652 = 20,186,652 : x
  2. Step 2: Convert to fraction form
    12,986,216/20,186,652 = 20,186,652/x
  3. Step 3: Cross multiply
    12,986,216x = 20,186,652 × 20,186,652
  4. Step 4: Simplify right side
    12,986,216x = 407,500,918,969,104
  5. Step 5: Solve for x
    x = 407,500,918,969,104/12,986,216
  6. Step 6: Final answer
    x = 31,379,496.46

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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.