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Finding the Third Proportional to 100,945,460 and 219,605,620

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Solution

The third proportional to 100,945,460 and 219,605,620 is: 477,749,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945,460 : 219,605,620 = 219,605,620 : x
  2. Step 2: Convert to fraction form
    100,945,460/219,605,620 = 219,605,620/x
  3. Step 3: Cross multiply
    100,945,460x = 219,605,620 × 219,605,620
  4. Step 4: Simplify right side
    100,945,460x = 48,226,628,335,584,400
  5. Step 5: Solve for x
    x = 48,226,628,335,584,400/100,945,460
  6. Step 6: Final answer
    x = 477,749,354.31

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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.