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Finding the Third Proportional to 10,938,640.50 and 23,498,578.50

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Solution

The third proportional to 10,938,640.50 and 23,498,578.50 is: 50,480,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938,640.50 : 23,498,578.50 = 23,498,578.50 : x
  2. Step 2: Convert to fraction form
    10,938,640.50/23,498,578.50 = 23,498,578.50/x
  3. Step 3: Cross multiply
    10,938,640.50x = 23,498,578.50 × 23,498,578.50
  4. Step 4: Simplify right side
    10,938,640.50x = 552,183,191,520,662.25
  5. Step 5: Solve for x
    x = 552,183,191,520,662.25/10,938,640.50
  6. Step 6: Final answer
    x = 50,480,056.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.