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Finding the Third Proportional to 155,565 and 339,287

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Solution

The third proportional to 155,565 and 339,287 is: 739,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,565 : 339,287 = 339,287 : x
  2. Step 2: Convert to fraction form
    155,565/339,287 = 339,287/x
  3. Step 3: Cross multiply
    155,565x = 339,287 × 339,287
  4. Step 4: Simplify right side
    155,565x = 115,115,668,369
  5. Step 5: Solve for x
    x = 115,115,668,369/155,565
  6. Step 6: Final answer
    x = 739,984.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.