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Finding the Third Proportional to 9,790,411.50 and 21,207,978

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Solution

The third proportional to 9,790,411.50 and 21,207,978 is: 45,940,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,411.50 : 21,207,978 = 21,207,978 : x
  2. Step 2: Convert to fraction form
    9,790,411.50/21,207,978 = 21,207,978/x
  3. Step 3: Cross multiply
    9,790,411.50x = 21,207,978 × 21,207,978
  4. Step 4: Simplify right side
    9,790,411.50x = 449,778,330,848,484
  5. Step 5: Solve for x
    x = 449,778,330,848,484/9,790,411.50
  6. Step 6: Final answer
    x = 45,940,697.27

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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.