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Finding the Third Proportional to 8,191,329 and 12,718,599

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Solution

The third proportional to 8,191,329 and 12,718,599 is: 19,748,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,329 : 12,718,599 = 12,718,599 : x
  2. Step 2: Convert to fraction form
    8,191,329/12,718,599 = 12,718,599/x
  3. Step 3: Cross multiply
    8,191,329x = 12,718,599 × 12,718,599
  4. Step 4: Simplify right side
    8,191,329x = 161,762,760,522,801
  5. Step 5: Solve for x
    x = 161,762,760,522,801/8,191,329
  6. Step 6: Final answer
    x = 19,748,048.27

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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.