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Finding the Third Proportional to 6,431,228 and 13,391,688

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Solution

The third proportional to 6,431,228 and 13,391,688 is: 27,885,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,228 : 13,391,688 = 13,391,688 : x
  2. Step 2: Convert to fraction form
    6,431,228/13,391,688 = 13,391,688/x
  3. Step 3: Cross multiply
    6,431,228x = 13,391,688 × 13,391,688
  4. Step 4: Simplify right side
    6,431,228x = 179,337,307,489,344
  5. Step 5: Solve for x
    x = 179,337,307,489,344/6,431,228
  6. Step 6: Final answer
    x = 27,885,391.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.