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Finding the Third Proportional to 209,505,996 and 424,985,796

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Solution

The third proportional to 209,505,996 and 424,985,796 is: 862,089,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,505,996 : 424,985,796 = 424,985,796 : x
  2. Step 2: Convert to fraction form
    209,505,996/424,985,796 = 424,985,796/x
  3. Step 3: Cross multiply
    209,505,996x = 424,985,796 × 424,985,796
  4. Step 4: Simplify right side
    209,505,996x = 180,612,926,801,753,600
  5. Step 5: Solve for x
    x = 180,612,926,801,753,600/209,505,996
  6. Step 6: Final answer
    x = 862,089,535.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.