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Finding the Third Proportional to 100,945,484 and 219,605,668

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Solution

The third proportional to 100,945,484 and 219,605,668 is: 477,749,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945,484 : 219,605,668 = 219,605,668 : x
  2. Step 2: Convert to fraction form
    100,945,484/219,605,668 = 219,605,668/x
  3. Step 3: Cross multiply
    100,945,484x = 219,605,668 × 219,605,668
  4. Step 4: Simplify right side
    100,945,484x = 48,226,649,417,726,224
  5. Step 5: Solve for x
    x = 48,226,649,417,726,224/100,945,484
  6. Step 6: Final answer
    x = 477,749,449.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.