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Finding the Third Proportional to 9,727,884 and 21,117,240

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Solution

The third proportional to 9,727,884 and 21,117,240 is: 45,841,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727,884 : 21,117,240 = 21,117,240 : x
  2. Step 2: Convert to fraction form
    9,727,884/21,117,240 = 21,117,240/x
  3. Step 3: Cross multiply
    9,727,884x = 21,117,240 × 21,117,240
  4. Step 4: Simplify right side
    9,727,884x = 445,937,825,217,600
  5. Step 5: Solve for x
    x = 445,937,825,217,600/9,727,884
  6. Step 6: Final answer
    x = 45,841,194.78

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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.