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Finding the Third Proportional to 298,173 and 638,952

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Solution

The third proportional to 298,173 and 638,952 is: 1,369,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,173 : 638,952 = 638,952 : x
  2. Step 2: Convert to fraction form
    298,173/638,952 = 638,952/x
  3. Step 3: Cross multiply
    298,173x = 638,952 × 638,952
  4. Step 4: Simplify right side
    298,173x = 408,259,658,304
  5. Step 5: Solve for x
    x = 408,259,658,304/298,173
  6. Step 6: Final answer
    x = 1,369,203.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.