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Finding the Third Proportional to 98,581,512 and 219,829,980

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Solution

The third proportional to 98,581,512 and 219,829,980 is: 490,205,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,581,512 : 219,829,980 = 219,829,980 : x
  2. Step 2: Convert to fraction form
    98,581,512/219,829,980 = 219,829,980/x
  3. Step 3: Cross multiply
    98,581,512x = 219,829,980 × 219,829,980
  4. Step 4: Simplify right side
    98,581,512x = 48,325,220,106,800,400
  5. Step 5: Solve for x
    x = 48,325,220,106,800,400/98,581,512
  6. Step 6: Final answer
    x = 490,205,710.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.