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Finding the Third Proportional to 339,730,086,392 and 509,098,173,108

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Solution

The third proportional to 339,730,086,392 and 509,098,173,108 is: 762,902,551,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,730,086,392 : 509,098,173,108 = 509,098,173,108 : x
  2. Step 2: Convert to fraction form
    339,730,086,392/509,098,173,108 = 509,098,173,108/x
  3. Step 3: Cross multiply
    339,730,086,392x = 509,098,173,108 × 509,098,173,108
  4. Step 4: Simplify right side
    339,730,086,392x = 259,180,949,861,903,131,213,824
  5. Step 5: Solve for x
    x = 259,180,949,861,903,131,213,824/339,730,086,392
  6. Step 6: Final answer
    x = 762,902,551,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.