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Finding the Third Proportional to 221,562,242 and 512,876,473

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Solution

The third proportional to 221,562,242 and 512,876,473 is: 1,187,216,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562,242 : 512,876,473 = 512,876,473 : x
  2. Step 2: Convert to fraction form
    221,562,242/512,876,473 = 512,876,473/x
  3. Step 3: Cross multiply
    221,562,242x = 512,876,473 × 512,876,473
  4. Step 4: Simplify right side
    221,562,242x = 263,042,276,556,919,744
  5. Step 5: Solve for x
    x = 263,042,276,556,919,744/221,562,242
  6. Step 6: Final answer
    x = 1,187,216,170.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.