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Finding the Third Proportional to 158,460.75 and 339,979.50

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Solution

The third proportional to 158,460.75 and 339,979.50 is: 729,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,460.75 : 339,979.50 = 339,979.50 : x
  2. Step 2: Convert to fraction form
    158,460.75/339,979.50 = 339,979.50/x
  3. Step 3: Cross multiply
    158,460.75x = 339,979.50 × 339,979.50
  4. Step 4: Simplify right side
    158,460.75x = 115,586,060,420.25
  5. Step 5: Solve for x
    x = 115,586,060,420.25/158,460.75
  6. Step 6: Final answer
    x = 729,430.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.