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Finding the Third Proportional to 137,405 and 218,575

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Solution

The third proportional to 137,405 and 218,575 is: 347,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405 : 218,575 = 218,575 : x
  2. Step 2: Convert to fraction form
    137,405/218,575 = 218,575/x
  3. Step 3: Cross multiply
    137,405x = 218,575 × 218,575
  4. Step 4: Simplify right side
    137,405x = 47,775,030,625
  5. Step 5: Solve for x
    x = 47,775,030,625/137,405
  6. Step 6: Final answer
    x = 347,694.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.