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Finding the Third Proportional to 298,032 and 638,678

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Solution

The third proportional to 298,032 and 638,678 is: 1,368,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032 : 638,678 = 638,678 : x
  2. Step 2: Convert to fraction form
    298,032/638,678 = 638,678/x
  3. Step 3: Cross multiply
    298,032x = 638,678 × 638,678
  4. Step 4: Simplify right side
    298,032x = 407,909,587,684
  5. Step 5: Solve for x
    x = 407,909,587,684/298,032
  6. Step 6: Final answer
    x = 1,368,677.15

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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.