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Finding the Third Proportional to 398,588 and 605,263

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Solution

The third proportional to 398,588 and 605,263 is: 919,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,588 : 605,263 = 605,263 : x
  2. Step 2: Convert to fraction form
    398,588/605,263 = 605,263/x
  3. Step 3: Cross multiply
    398,588x = 605,263 × 605,263
  4. Step 4: Simplify right side
    398,588x = 366,343,299,169
  5. Step 5: Solve for x
    x = 366,343,299,169/398,588
  6. Step 6: Final answer
    x = 919,102.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.