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Finding the Third Proportional to 180,565 and 388,878

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Solution

The third proportional to 180,565 and 388,878 is: 837,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,565 : 388,878 = 388,878 : x
  2. Step 2: Convert to fraction form
    180,565/388,878 = 388,878/x
  3. Step 3: Cross multiply
    180,565x = 388,878 × 388,878
  4. Step 4: Simplify right side
    180,565x = 151,226,098,884
  5. Step 5: Solve for x
    x = 151,226,098,884/180,565
  6. Step 6: Final answer
    x = 837,516.12

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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.