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Finding the Third Proportional to 311,986 and 470,187

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Solution

The third proportional to 311,986 and 470,187 is: 708,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,986 : 470,187 = 470,187 : x
  2. Step 2: Convert to fraction form
    311,986/470,187 = 470,187/x
  3. Step 3: Cross multiply
    311,986x = 470,187 × 470,187
  4. Step 4: Simplify right side
    311,986x = 221,075,814,969
  5. Step 5: Solve for x
    x = 221,075,814,969/311,986
  6. Step 6: Final answer
    x = 708,608.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.