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Finding the Third Proportional to 338,749,984 and 517,860,912

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Solution

The third proportional to 338,749,984 and 517,860,912 is: 791,675,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,749,984 : 517,860,912 = 517,860,912 : x
  2. Step 2: Convert to fraction form
    338,749,984/517,860,912 = 517,860,912/x
  3. Step 3: Cross multiply
    338,749,984x = 517,860,912 × 517,860,912
  4. Step 4: Simplify right side
    338,749,984x = 268,179,924,177,471,744
  5. Step 5: Solve for x
    x = 268,179,924,177,471,744/338,749,984
  6. Step 6: Final answer
    x = 791,675,090.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.