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Finding the Third Proportional to 13,865,742.32 and 21,638,019.96

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Solution

The third proportional to 13,865,742.32 and 21,638,019.96 is: 33,766,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,742.32 : 21,638,019.96 = 21,638,019.96 : x
  2. Step 2: Convert to fraction form
    13,865,742.32/21,638,019.96 = 21,638,019.96/x
  3. Step 3: Cross multiply
    13,865,742.32x = 21,638,019.96 × 21,638,019.96
  4. Step 4: Simplify right side
    13,865,742.32x = 468,203,907,576,353.69
  5. Step 5: Solve for x
    x = 468,203,907,576,353.69/13,865,742.32
  6. Step 6: Final answer
    x = 33,766,955.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.