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Finding the Third Proportional to 133,326,171 and 321,162,916.50

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Solution

The third proportional to 133,326,171 and 321,162,916.50 is: 773,633,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,326,171 : 321,162,916.50 = 321,162,916.50 : x
  2. Step 2: Convert to fraction form
    133,326,171/321,162,916.50 = 321,162,916.50/x
  3. Step 3: Cross multiply
    133,326,171x = 321,162,916.50 × 321,162,916.50
  4. Step 4: Simplify right side
    133,326,171x = 103,145,618,934,785,968
  5. Step 5: Solve for x
    x = 103,145,618,934,785,968/133,326,171
  6. Step 6: Final answer
    x = 773,633,699.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.