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Finding the Third Proportional to 209,483,742 and 455,227,398

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Solution

The third proportional to 209,483,742 and 455,227,398 is: 989,250,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483,742 : 455,227,398 = 455,227,398 : x
  2. Step 2: Convert to fraction form
    209,483,742/455,227,398 = 455,227,398/x
  3. Step 3: Cross multiply
    209,483,742x = 455,227,398 × 455,227,398
  4. Step 4: Simplify right side
    209,483,742x = 207,231,983,889,850,400
  5. Step 5: Solve for x
    x = 207,231,983,889,850,400/209,483,742
  6. Step 6: Final answer
    x = 989,250,917.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.