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Finding the Third Proportional to 313,621 and 471,138

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Solution

The third proportional to 313,621 and 471,138 is: 707,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,621 : 471,138 = 471,138 : x
  2. Step 2: Convert to fraction form
    313,621/471,138 = 471,138/x
  3. Step 3: Cross multiply
    313,621x = 471,138 × 471,138
  4. Step 4: Simplify right side
    313,621x = 221,971,015,044
  5. Step 5: Solve for x
    x = 221,971,015,044/313,621
  6. Step 6: Final answer
    x = 707,768.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.