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Finding the Third Proportional to 242,682,390.50 and 343,388,145.75

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Solution

The third proportional to 242,682,390.50 and 343,388,145.75 is: 485,883,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682,390.50 : 343,388,145.75 = 343,388,145.75 : x
  2. Step 2: Convert to fraction form
    242,682,390.50/343,388,145.75 = 343,388,145.75/x
  3. Step 3: Cross multiply
    242,682,390.50x = 343,388,145.75 × 343,388,145.75
  4. Step 4: Simplify right side
    242,682,390.50x = 117,915,418,641,623,248
  5. Step 5: Solve for x
    x = 117,915,418,641,623,248/242,682,390.50
  6. Step 6: Final answer
    x = 485,883,703.38

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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.