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Finding the Third Proportional to 339,565 and 459,522

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Solution

The third proportional to 339,565 and 459,522 is: 621,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,565 : 459,522 = 459,522 : x
  2. Step 2: Convert to fraction form
    339,565/459,522 = 459,522/x
  3. Step 3: Cross multiply
    339,565x = 459,522 × 459,522
  4. Step 4: Simplify right side
    339,565x = 211,160,468,484
  5. Step 5: Solve for x
    x = 211,160,468,484/339,565
  6. Step 6: Final answer
    x = 621,855.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.