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Finding the Third Proportional to 30,680.25 and 63,318

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Solution

The third proportional to 30,680.25 and 63,318 is: 130,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.25 : 63,318 = 63,318 : x
  2. Step 2: Convert to fraction form
    30,680.25/63,318 = 63,318/x
  3. Step 3: Cross multiply
    30,680.25x = 63,318 × 63,318
  4. Step 4: Simplify right side
    30,680.25x = 4,009,169,124
  5. Step 5: Solve for x
    x = 4,009,169,124/30,680.25
  6. Step 6: Final answer
    x = 130,675.89

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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.