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Finding the Third Proportional to 338,661 and 740,289

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Solution

The third proportional to 338,661 and 740,289 is: 1,618,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,661 : 740,289 = 740,289 : x
  2. Step 2: Convert to fraction form
    338,661/740,289 = 740,289/x
  3. Step 3: Cross multiply
    338,661x = 740,289 × 740,289
  4. Step 4: Simplify right side
    338,661x = 548,027,803,521
  5. Step 5: Solve for x
    x = 548,027,803,521/338,661
  6. Step 6: Final answer
    x = 1,618,219.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.