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Finding the Third Proportional to 100,214,697.75 and 209,592,372

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Solution

The third proportional to 100,214,697.75 and 209,592,372 is: 438,348,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214,697.75 : 209,592,372 = 209,592,372 : x
  2. Step 2: Convert to fraction form
    100,214,697.75/209,592,372 = 209,592,372/x
  3. Step 3: Cross multiply
    100,214,697.75x = 209,592,372 × 209,592,372
  4. Step 4: Simplify right side
    100,214,697.75x = 43,928,962,400,586,384
  5. Step 5: Solve for x
    x = 43,928,962,400,586,384/100,214,697.75
  6. Step 6: Final answer
    x = 438,348,499.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.