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Finding the Third Proportional to 91,078,839 and 199,877,481

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Solution

The third proportional to 91,078,839 and 199,877,481 is: 438,642,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,078,839 : 199,877,481 = 199,877,481 : x
  2. Step 2: Convert to fraction form
    91,078,839/199,877,481 = 199,877,481/x
  3. Step 3: Cross multiply
    91,078,839x = 199,877,481 × 199,877,481
  4. Step 4: Simplify right side
    91,078,839x = 39,951,007,410,905,360
  5. Step 5: Solve for x
    x = 39,951,007,410,905,360/91,078,839
  6. Step 6: Final answer
    x = 438,642,036.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.