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Finding the Third Proportional to 30,948 and 66,072

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Solution

The third proportional to 30,948 and 66,072 is: 141,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948 : 66,072 = 66,072 : x
  2. Step 2: Convert to fraction form
    30,948/66,072 = 66,072/x
  3. Step 3: Cross multiply
    30,948x = 66,072 × 66,072
  4. Step 4: Simplify right side
    30,948x = 4,365,509,184
  5. Step 5: Solve for x
    x = 4,365,509,184/30,948
  6. Step 6: Final answer
    x = 141,059.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.