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Finding the Third Proportional to 168,657 and 256,438.50

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Solution

The third proportional to 168,657 and 256,438.50 is: 389,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,657 : 256,438.50 = 256,438.50 : x
  2. Step 2: Convert to fraction form
    168,657/256,438.50 = 256,438.50/x
  3. Step 3: Cross multiply
    168,657x = 256,438.50 × 256,438.50
  4. Step 4: Simplify right side
    168,657x = 65,760,704,282.25
  5. Step 5: Solve for x
    x = 65,760,704,282.25/168,657
  6. Step 6: Final answer
    x = 389,907.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.