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Finding the Third Proportional to 242,682,390 and 343,388,145

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Solution

The third proportional to 242,682,390 and 343,388,145 is: 485,883,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682,390 : 343,388,145 = 343,388,145 : x
  2. Step 2: Convert to fraction form
    242,682,390/343,388,145 = 343,388,145/x
  3. Step 3: Cross multiply
    242,682,390x = 343,388,145 × 343,388,145
  4. Step 4: Simplify right side
    242,682,390x = 117,915,418,126,541,024
  5. Step 5: Solve for x
    x = 117,915,418,126,541,024/242,682,390
  6. Step 6: Final answer
    x = 485,883,702.26

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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.