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Finding the Third Proportional to 8,942,837 and 19,397,983

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Solution

The third proportional to 8,942,837 and 19,397,983 is: 42,076,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942,837 : 19,397,983 = 19,397,983 : x
  2. Step 2: Convert to fraction form
    8,942,837/19,397,983 = 19,397,983/x
  3. Step 3: Cross multiply
    8,942,837x = 19,397,983 × 19,397,983
  4. Step 4: Simplify right side
    8,942,837x = 376,281,744,468,289
  5. Step 5: Solve for x
    x = 376,281,744,468,289/8,942,837
  6. Step 6: Final answer
    x = 42,076,328.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.