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Finding the Third Proportional to 209,483,743.50 and 455,227,400.25

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Solution

The third proportional to 209,483,743.50 and 455,227,400.25 is: 989,250,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483,743.50 : 455,227,400.25 = 455,227,400.25 : x
  2. Step 2: Convert to fraction form
    209,483,743.50/455,227,400.25 = 455,227,400.25/x
  3. Step 3: Cross multiply
    209,483,743.50x = 455,227,400.25 × 455,227,400.25
  4. Step 4: Simplify right side
    209,483,743.50x = 207,231,985,938,373,696
  5. Step 5: Solve for x
    x = 207,231,985,938,373,696/209,483,743.50
  6. Step 6: Final answer
    x = 989,250,919.79

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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.