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Finding the Third Proportional to 9,848.25 and 20,678.63

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Solution

The third proportional to 9,848.25 and 20,678.63 is: 43,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.25 : 20,678.63 = 20,678.63 : x
  2. Step 2: Convert to fraction form
    9,848.25/20,678.63 = 20,678.63/x
  3. Step 3: Cross multiply
    9,848.25x = 20,678.63 × 20,678.63
  4. Step 4: Simplify right side
    9,848.25x = 427,605,531.89
  5. Step 5: Solve for x
    x = 427,605,531.89/9,848.25
  6. Step 6: Final answer
    x = 43,419.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.