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Finding the Third Proportional to 56,485,728 and 121,929,408

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Solution

The third proportional to 56,485,728 and 121,929,408 is: 263,195,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,485,728 : 121,929,408 = 121,929,408 : x
  2. Step 2: Convert to fraction form
    56,485,728/121,929,408 = 121,929,408/x
  3. Step 3: Cross multiply
    56,485,728x = 121,929,408 × 121,929,408
  4. Step 4: Simplify right side
    56,485,728x = 14,866,780,535,230,464
  5. Step 5: Solve for x
    x = 14,866,780,535,230,464/56,485,728
  6. Step 6: Final answer
    x = 263,195,342.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.