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Finding the Third Proportional to 106,544,040 and 229,258,296

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Solution

The third proportional to 106,544,040 and 229,258,296 is: 493,311,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544,040 : 229,258,296 = 229,258,296 : x
  2. Step 2: Convert to fraction form
    106,544,040/229,258,296 = 229,258,296/x
  3. Step 3: Cross multiply
    106,544,040x = 229,258,296 × 229,258,296
  4. Step 4: Simplify right side
    106,544,040x = 52,559,366,284,823,616
  5. Step 5: Solve for x
    x = 52,559,366,284,823,616/106,544,040
  6. Step 6: Final answer
    x = 493,311,181.79

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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.