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Finding the Third Proportional to 129,898,384 and 285,509,408

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Solution

The third proportional to 129,898,384 and 285,509,408 is: 627,533,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,898,384 : 285,509,408 = 285,509,408 : x
  2. Step 2: Convert to fraction form
    129,898,384/285,509,408 = 285,509,408/x
  3. Step 3: Cross multiply
    129,898,384x = 285,509,408 × 285,509,408
  4. Step 4: Simplify right side
    129,898,384x = 81,515,622,056,510,464
  5. Step 5: Solve for x
    x = 81,515,622,056,510,464/129,898,384
  6. Step 6: Final answer
    x = 627,533,765.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.