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Finding the Third Proportional to 9,894,984 and 21,285,816

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Solution

The third proportional to 9,894,984 and 21,285,816 is: 45,789,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,984 : 21,285,816 = 21,285,816 : x
  2. Step 2: Convert to fraction form
    9,894,984/21,285,816 = 21,285,816/x
  3. Step 3: Cross multiply
    9,894,984x = 21,285,816 × 21,285,816
  4. Step 4: Simplify right side
    9,894,984x = 453,085,962,785,856
  5. Step 5: Solve for x
    x = 453,085,962,785,856/9,894,984
  6. Step 6: Final answer
    x = 45,789,458.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.