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Finding the Third Proportional to 53,375,490 and 108,236,214

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Solution

The third proportional to 53,375,490 and 108,236,214 is: 219,484,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,375,490 : 108,236,214 = 108,236,214 : x
  2. Step 2: Convert to fraction form
    53,375,490/108,236,214 = 108,236,214/x
  3. Step 3: Cross multiply
    53,375,490x = 108,236,214 × 108,236,214
  4. Step 4: Simplify right side
    53,375,490x = 11,715,078,021,053,796
  5. Step 5: Solve for x
    x = 11,715,078,021,053,796/53,375,490
  6. Step 6: Final answer
    x = 219,484,224.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.