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Finding the Third Proportional to 45,856 and 93,184

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Solution

The third proportional to 45,856 and 93,184 is: 189,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,856 : 93,184 = 93,184 : x
  2. Step 2: Convert to fraction form
    45,856/93,184 = 93,184/x
  3. Step 3: Cross multiply
    45,856x = 93,184 × 93,184
  4. Step 4: Simplify right side
    45,856x = 8,683,257,856
  5. Step 5: Solve for x
    x = 8,683,257,856/45,856
  6. Step 6: Final answer
    x = 189,359.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.