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Finding the Third Proportional to 154,842 and 339,208.50

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Solution

The third proportional to 154,842 and 339,208.50 is: 743,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842 : 339,208.50 = 339,208.50 : x
  2. Step 2: Convert to fraction form
    154,842/339,208.50 = 339,208.50/x
  3. Step 3: Cross multiply
    154,842x = 339,208.50 × 339,208.50
  4. Step 4: Simplify right side
    154,842x = 115,062,406,472.25
  5. Step 5: Solve for x
    x = 115,062,406,472.25/154,842
  6. Step 6: Final answer
    x = 743,095.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.