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Finding the Third Proportional to 47,426,568 and 102,043,344

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Solution

The third proportional to 47,426,568 and 102,043,344 is: 219,557,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426,568 : 102,043,344 = 102,043,344 : x
  2. Step 2: Convert to fraction form
    47,426,568/102,043,344 = 102,043,344/x
  3. Step 3: Cross multiply
    47,426,568x = 102,043,344 × 102,043,344
  4. Step 4: Simplify right side
    47,426,568x = 10,412,844,054,702,336
  5. Step 5: Solve for x
    x = 10,412,844,054,702,336/47,426,568
  6. Step 6: Final answer
    x = 219,557,191.12

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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.