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Finding the Third Proportional to 183,159 and 386,271

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Solution

The third proportional to 183,159 and 386,271 is: 814,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,159 : 386,271 = 386,271 : x
  2. Step 2: Convert to fraction form
    183,159/386,271 = 386,271/x
  3. Step 3: Cross multiply
    183,159x = 386,271 × 386,271
  4. Step 4: Simplify right side
    183,159x = 149,205,285,441
  5. Step 5: Solve for x
    x = 149,205,285,441/183,159
  6. Step 6: Final answer
    x = 814,621.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.