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Finding the Third Proportional to 628,451,217 and 1,365,682,173.75

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Solution

The third proportional to 628,451,217 and 1,365,682,173.75 is: 2,967,752,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,451,217 : 1,365,682,173.75 = 1,365,682,173.75 : x
  2. Step 2: Convert to fraction form
    628,451,217/1,365,682,173.75 = 1,365,682,173.75/x
  3. Step 3: Cross multiply
    628,451,217x = 1,365,682,173.75 × 1,365,682,173.75
  4. Step 4: Simplify right side
    628,451,217x = 1,865,087,799,698,525,184
  5. Step 5: Solve for x
    x = 1,865,087,799,698,525,184/628,451,217
  6. Step 6: Final answer
    x = 2,967,752,705.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.