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Finding the Third Proportional to 13,810,900 and 20,908,206

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Solution

The third proportional to 13,810,900 and 20,908,206 is: 31,652,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810,900 : 20,908,206 = 20,908,206 : x
  2. Step 2: Convert to fraction form
    13,810,900/20,908,206 = 20,908,206/x
  3. Step 3: Cross multiply
    13,810,900x = 20,908,206 × 20,908,206
  4. Step 4: Simplify right side
    13,810,900x = 437,153,078,138,436
  5. Step 5: Solve for x
    x = 437,153,078,138,436/13,810,900
  6. Step 6: Final answer
    x = 31,652,758.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.