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Finding the Third Proportional to 340,520 and 690,768

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Solution

The third proportional to 340,520 and 690,768 is: 1,401,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,520 : 690,768 = 690,768 : x
  2. Step 2: Convert to fraction form
    340,520/690,768 = 690,768/x
  3. Step 3: Cross multiply
    340,520x = 690,768 × 690,768
  4. Step 4: Simplify right side
    340,520x = 477,160,429,824
  5. Step 5: Solve for x
    x = 477,160,429,824/340,520
  6. Step 6: Final answer
    x = 1,401,269.91

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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.