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Finding the Third Proportional to 30,803 and 66,343

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Solution

The third proportional to 30,803 and 66,343 is: 142,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803 : 66,343 = 66,343 : x
  2. Step 2: Convert to fraction form
    30,803/66,343 = 66,343/x
  3. Step 3: Cross multiply
    30,803x = 66,343 × 66,343
  4. Step 4: Simplify right side
    30,803x = 4,401,393,649
  5. Step 5: Solve for x
    x = 4,401,393,649/30,803
  6. Step 6: Final answer
    x = 142,888.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.