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Finding the Third Proportional to 13,810,468 and 20,907,638

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Solution

The third proportional to 13,810,468 and 20,907,638 is: 31,652,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810,468 : 20,907,638 = 20,907,638 : x
  2. Step 2: Convert to fraction form
    13,810,468/20,907,638 = 20,907,638/x
  3. Step 3: Cross multiply
    13,810,468x = 20,907,638 × 20,907,638
  4. Step 4: Simplify right side
    13,810,468x = 437,129,326,739,044
  5. Step 5: Solve for x
    x = 437,129,326,739,044/13,810,468
  6. Step 6: Final answer
    x = 31,652,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.