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Finding the Third Proportional to 7,203,756 and 12,810,276

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Solution

The third proportional to 7,203,756 and 12,810,276 is: 22,780,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203,756 : 12,810,276 = 12,810,276 : x
  2. Step 2: Convert to fraction form
    7,203,756/12,810,276 = 12,810,276/x
  3. Step 3: Cross multiply
    7,203,756x = 12,810,276 × 12,810,276
  4. Step 4: Simplify right side
    7,203,756x = 164,103,171,196,176
  5. Step 5: Solve for x
    x = 164,103,171,196,176/7,203,756
  6. Step 6: Final answer
    x = 22,780,223.43

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.