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Finding the Third Proportional to 180,374,066 and 395,221,588

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Solution

The third proportional to 180,374,066 and 395,221,588 is: 865,978,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,374,066 : 395,221,588 = 395,221,588 : x
  2. Step 2: Convert to fraction form
    180,374,066/395,221,588 = 395,221,588/x
  3. Step 3: Cross multiply
    180,374,066x = 395,221,588 × 395,221,588
  4. Step 4: Simplify right side
    180,374,066x = 156,200,103,621,241,728
  5. Step 5: Solve for x
    x = 156,200,103,621,241,728/180,374,066
  6. Step 6: Final answer
    x = 865,978,724.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.