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Finding the Third Proportional to 13,971,410 and 20,870,843

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Solution

The third proportional to 13,971,410 and 20,870,843 is: 31,177,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971,410 : 20,870,843 = 20,870,843 : x
  2. Step 2: Convert to fraction form
    13,971,410/20,870,843 = 20,870,843/x
  3. Step 3: Cross multiply
    13,971,410x = 20,870,843 × 20,870,843
  4. Step 4: Simplify right side
    13,971,410x = 435,592,087,530,649
  5. Step 5: Solve for x
    x = 435,592,087,530,649/13,971,410
  6. Step 6: Final answer
    x = 31,177,389.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.