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Finding the Third Proportional to 174,432 and 388,308

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Solution

The third proportional to 174,432 and 388,308 is: 864,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,432 : 388,308 = 388,308 : x
  2. Step 2: Convert to fraction form
    174,432/388,308 = 388,308/x
  3. Step 3: Cross multiply
    174,432x = 388,308 × 388,308
  4. Step 4: Simplify right side
    174,432x = 150,783,102,864
  5. Step 5: Solve for x
    x = 150,783,102,864/174,432
  6. Step 6: Final answer
    x = 864,423.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.