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Finding the Third Proportional to 102,731,270 and 213,965,580

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Solution

The third proportional to 102,731,270 and 213,965,580 is: 445,641,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731,270 : 213,965,580 = 213,965,580 : x
  2. Step 2: Convert to fraction form
    102,731,270/213,965,580 = 213,965,580/x
  3. Step 3: Cross multiply
    102,731,270x = 213,965,580 × 213,965,580
  4. Step 4: Simplify right side
    102,731,270x = 45,781,269,424,736,400
  5. Step 5: Solve for x
    x = 45,781,269,424,736,400/102,731,270
  6. Step 6: Final answer
    x = 445,641,034.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.