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Finding the Third Proportional to 351,031 and 684,566

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Solution

The third proportional to 351,031 and 684,566 is: 1,335,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,031 : 684,566 = 684,566 : x
  2. Step 2: Convert to fraction form
    351,031/684,566 = 684,566/x
  3. Step 3: Cross multiply
    351,031x = 684,566 × 684,566
  4. Step 4: Simplify right side
    351,031x = 468,630,608,356
  5. Step 5: Solve for x
    x = 468,630,608,356/351,031
  6. Step 6: Final answer
    x = 1,335,012.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.