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Finding the Third Proportional to 170,477 and 255,715.50

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Solution

The third proportional to 170,477 and 255,715.50 is: 383,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,477 : 255,715.50 = 255,715.50 : x
  2. Step 2: Convert to fraction form
    170,477/255,715.50 = 255,715.50/x
  3. Step 3: Cross multiply
    170,477x = 255,715.50 × 255,715.50
  4. Step 4: Simplify right side
    170,477x = 65,390,416,940.25
  5. Step 5: Solve for x
    x = 65,390,416,940.25/170,477
  6. Step 6: Final answer
    x = 383,573.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.