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Finding the Third Proportional to 189,907.50 and 300,717

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Solution

The third proportional to 189,907.50 and 300,717 is: 476,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,907.50 : 300,717 = 300,717 : x
  2. Step 2: Convert to fraction form
    189,907.50/300,717 = 300,717/x
  3. Step 3: Cross multiply
    189,907.50x = 300,717 × 300,717
  4. Step 4: Simplify right side
    189,907.50x = 90,430,714,089
  5. Step 5: Solve for x
    x = 90,430,714,089/189,907.50
  6. Step 6: Final answer
    x = 476,182.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.