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Finding the Third Proportional to 8,143,920 and 17,901,748

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Solution

The third proportional to 8,143,920 and 17,901,748 is: 39,351,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143,920 : 17,901,748 = 17,901,748 : x
  2. Step 2: Convert to fraction form
    8,143,920/17,901,748 = 17,901,748/x
  3. Step 3: Cross multiply
    8,143,920x = 17,901,748 × 17,901,748
  4. Step 4: Simplify right side
    8,143,920x = 320,472,581,455,504
  5. Step 5: Solve for x
    x = 320,472,581,455,504/8,143,920
  6. Step 6: Final answer
    x = 39,351,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.