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Finding the Third Proportional to 338,086 and 519,709

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Solution

The third proportional to 338,086 and 519,709 is: 798,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,086 : 519,709 = 519,709 : x
  2. Step 2: Convert to fraction form
    338,086/519,709 = 519,709/x
  3. Step 3: Cross multiply
    338,086x = 519,709 × 519,709
  4. Step 4: Simplify right side
    338,086x = 270,097,444,681
  5. Step 5: Solve for x
    x = 270,097,444,681/338,086
  6. Step 6: Final answer
    x = 798,901.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.