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Finding the Third Proportional to 30,678 and 63,276

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Solution

The third proportional to 30,678 and 63,276 is: 130,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 63,276 = 63,276 : x
  2. Step 2: Convert to fraction form
    30,678/63,276 = 63,276/x
  3. Step 3: Cross multiply
    30,678x = 63,276 × 63,276
  4. Step 4: Simplify right side
    30,678x = 4,003,852,176
  5. Step 5: Solve for x
    x = 4,003,852,176/30,678
  6. Step 6: Final answer
    x = 130,512.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.