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Finding the Third Proportional to 30,653 and 66,143.25

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Solution

The third proportional to 30,653 and 66,143.25 is: 142,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653 : 66,143.25 = 66,143.25 : x
  2. Step 2: Convert to fraction form
    30,653/66,143.25 = 66,143.25/x
  3. Step 3: Cross multiply
    30,653x = 66,143.25 × 66,143.25
  4. Step 4: Simplify right side
    30,653x = 4,374,929,520.56
  5. Step 5: Solve for x
    x = 4,374,929,520.56/30,653
  6. Step 6: Final answer
    x = 142,724.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.