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Finding the Third Proportional to 185,085 and 398,709

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Solution

The third proportional to 185,085 and 398,709 is: 858,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,085 : 398,709 = 398,709 : x
  2. Step 2: Convert to fraction form
    185,085/398,709 = 398,709/x
  3. Step 3: Cross multiply
    185,085x = 398,709 × 398,709
  4. Step 4: Simplify right side
    185,085x = 158,968,866,681
  5. Step 5: Solve for x
    x = 158,968,866,681/185,085
  6. Step 6: Final answer
    x = 858,896.54

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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.