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Finding the Third Proportional to 322,406,736 and 699,551,890.50

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Solution

The third proportional to 322,406,736 and 699,551,890.50 is: 1,517,874,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,736 : 699,551,890.50 = 699,551,890.50 : x
  2. Step 2: Convert to fraction form
    322,406,736/699,551,890.50 = 699,551,890.50/x
  3. Step 3: Cross multiply
    322,406,736x = 699,551,890.50 × 699,551,890.50
  4. Step 4: Simplify right side
    322,406,736x = 489,372,847,502,123,968
  5. Step 5: Solve for x
    x = 489,372,847,502,123,968/322,406,736
  6. Step 6: Final answer
    x = 1,517,874,141.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.