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Finding the Third Proportional to 179,316 and 388,320

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Solution

The third proportional to 179,316 and 388,320 is: 840,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,316 : 388,320 = 388,320 : x
  2. Step 2: Convert to fraction form
    179,316/388,320 = 388,320/x
  3. Step 3: Cross multiply
    179,316x = 388,320 × 388,320
  4. Step 4: Simplify right side
    179,316x = 150,792,422,400
  5. Step 5: Solve for x
    x = 150,792,422,400/179,316
  6. Step 6: Final answer
    x = 840,931.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.