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Finding the Third Proportional to 9,199,746 and 18,989,496

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Solution

The third proportional to 9,199,746 and 18,989,496 is: 39,196,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,746 : 18,989,496 = 18,989,496 : x
  2. Step 2: Convert to fraction form
    9,199,746/18,989,496 = 18,989,496/x
  3. Step 3: Cross multiply
    9,199,746x = 18,989,496 × 18,989,496
  4. Step 4: Simplify right side
    9,199,746x = 360,600,958,334,016
  5. Step 5: Solve for x
    x = 360,600,958,334,016/9,199,746
  6. Step 6: Final answer
    x = 39,196,838.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.