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Finding the Third Proportional to 403,097 and 582,708

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Solution

The third proportional to 403,097 and 582,708 is: 842,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,097 : 582,708 = 582,708 : x
  2. Step 2: Convert to fraction form
    403,097/582,708 = 582,708/x
  3. Step 3: Cross multiply
    403,097x = 582,708 × 582,708
  4. Step 4: Simplify right side
    403,097x = 339,548,613,264
  5. Step 5: Solve for x
    x = 339,548,613,264/403,097
  6. Step 6: Final answer
    x = 842,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.