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Finding the Third Proportional to 3,644,211 and 7,972,807

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Solution

The third proportional to 3,644,211 and 7,972,807 is: 17,442,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,211 : 7,972,807 = 7,972,807 : x
  2. Step 2: Convert to fraction form
    3,644,211/7,972,807 = 7,972,807/x
  3. Step 3: Cross multiply
    3,644,211x = 7,972,807 × 7,972,807
  4. Step 4: Simplify right side
    3,644,211x = 63,565,651,459,249
  5. Step 5: Solve for x
    x = 63,565,651,459,249/3,644,211
  6. Step 6: Final answer
    x = 17,442,911.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.