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Finding the Third Proportional to 8,137,812 and 12,589,377

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Solution

The third proportional to 8,137,812 and 12,589,377 is: 19,476,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,812 : 12,589,377 = 12,589,377 : x
  2. Step 2: Convert to fraction form
    8,137,812/12,589,377 = 12,589,377/x
  3. Step 3: Cross multiply
    8,137,812x = 12,589,377 × 12,589,377
  4. Step 4: Simplify right side
    8,137,812x = 158,492,413,248,129
  5. Step 5: Solve for x
    x = 158,492,413,248,129/8,137,812
  6. Step 6: Final answer
    x = 19,476,047.52

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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.