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Finding the Third Proportional to 13,137,120 and 20,919,832.50

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Solution

The third proportional to 13,137,120 and 20,919,832.50 is: 33,313,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137,120 : 20,919,832.50 = 20,919,832.50 : x
  2. Step 2: Convert to fraction form
    13,137,120/20,919,832.50 = 20,919,832.50/x
  3. Step 3: Cross multiply
    13,137,120x = 20,919,832.50 × 20,919,832.50
  4. Step 4: Simplify right side
    13,137,120x = 437,639,391,828,056.25
  5. Step 5: Solve for x
    x = 437,639,391,828,056.25/13,137,120
  6. Step 6: Final answer
    x = 33,313,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.