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Finding the Third Proportional to 235,717 and 356,999.50

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Solution

The third proportional to 235,717 and 356,999.50 is: 540,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,717 : 356,999.50 = 356,999.50 : x
  2. Step 2: Convert to fraction form
    235,717/356,999.50 = 356,999.50/x
  3. Step 3: Cross multiply
    235,717x = 356,999.50 × 356,999.50
  4. Step 4: Simplify right side
    235,717x = 127,448,643,000.25
  5. Step 5: Solve for x
    x = 127,448,643,000.25/235,717
  6. Step 6: Final answer
    x = 540,684.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.