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Finding the Third Proportional to 13,638,064 and 20,705,928

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Solution

The third proportional to 13,638,064 and 20,705,928 is: 31,436,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638,064 : 20,705,928 = 20,705,928 : x
  2. Step 2: Convert to fraction form
    13,638,064/20,705,928 = 20,705,928/x
  3. Step 3: Cross multiply
    13,638,064x = 20,705,928 × 20,705,928
  4. Step 4: Simplify right side
    13,638,064x = 428,735,454,341,184
  5. Step 5: Solve for x
    x = 428,735,454,341,184/13,638,064
  6. Step 6: Final answer
    x = 31,436,680.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.