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Finding the Third Proportional to 9,747,124 and 21,121,376

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Solution

The third proportional to 9,747,124 and 21,121,376 is: 45,768,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747,124 : 21,121,376 = 21,121,376 : x
  2. Step 2: Convert to fraction form
    9,747,124/21,121,376 = 21,121,376/x
  3. Step 3: Cross multiply
    9,747,124x = 21,121,376 × 21,121,376
  4. Step 4: Simplify right side
    9,747,124x = 446,112,524,133,376
  5. Step 5: Solve for x
    x = 446,112,524,133,376/9,747,124
  6. Step 6: Final answer
    x = 45,768,631.25

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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.