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Finding the Third Proportional to 30,714 and 66,988

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Solution

The third proportional to 30,714 and 66,988 is: 146,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714 : 66,988 = 66,988 : x
  2. Step 2: Convert to fraction form
    30,714/66,988 = 66,988/x
  3. Step 3: Cross multiply
    30,714x = 66,988 × 66,988
  4. Step 4: Simplify right side
    30,714x = 4,487,392,144
  5. Step 5: Solve for x
    x = 4,487,392,144/30,714
  6. Step 6: Final answer
    x = 146,102.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.