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Finding the Third Proportional to 104,775,676.50 and 220,411,450.50

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Solution

The third proportional to 104,775,676.50 and 220,411,450.50 is: 463,668,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,775,676.50 : 220,411,450.50 = 220,411,450.50 : x
  2. Step 2: Convert to fraction form
    104,775,676.50/220,411,450.50 = 220,411,450.50/x
  3. Step 3: Cross multiply
    104,775,676.50x = 220,411,450.50 × 220,411,450.50
  4. Step 4: Simplify right side
    104,775,676.50x = 48,581,207,511,513,952
  5. Step 5: Solve for x
    x = 48,581,207,511,513,952/104,775,676.50
  6. Step 6: Final answer
    x = 463,668,755.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.