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Finding the Third Proportional to 180,570 and 388,890

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Solution

The third proportional to 180,570 and 388,890 is: 837,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,570 : 388,890 = 388,890 : x
  2. Step 2: Convert to fraction form
    180,570/388,890 = 388,890/x
  3. Step 3: Cross multiply
    180,570x = 388,890 × 388,890
  4. Step 4: Simplify right side
    180,570x = 151,235,432,100
  5. Step 5: Solve for x
    x = 151,235,432,100/180,570
  6. Step 6: Final answer
    x = 837,544.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.