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Finding the Third Proportional to 242,682,388 and 343,388,142

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Solution

The third proportional to 242,682,388 and 343,388,142 is: 485,883,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682,388 : 343,388,142 = 343,388,142 : x
  2. Step 2: Convert to fraction form
    242,682,388/343,388,142 = 343,388,142/x
  3. Step 3: Cross multiply
    242,682,388x = 343,388,142 × 343,388,142
  4. Step 4: Simplify right side
    242,682,388x = 117,915,416,066,212,160
  5. Step 5: Solve for x
    x = 117,915,416,066,212,160/242,682,388
  6. Step 6: Final answer
    x = 485,883,697.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.