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Finding the Third Proportional to 13,420,955.25 and 21,285,657

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Solution

The third proportional to 13,420,955.25 and 21,285,657 is: 33,759,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420,955.25 : 21,285,657 = 21,285,657 : x
  2. Step 2: Convert to fraction form
    13,420,955.25/21,285,657 = 21,285,657/x
  3. Step 3: Cross multiply
    13,420,955.25x = 21,285,657 × 21,285,657
  4. Step 4: Simplify right side
    13,420,955.25x = 453,079,193,921,649
  5. Step 5: Solve for x
    x = 453,079,193,921,649/13,420,955.25
  6. Step 6: Final answer
    x = 33,759,086.85

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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.