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Finding the Third Proportional to 30,724 and 71,946

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Solution

The third proportional to 30,724 and 71,946 is: 168,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 71,946 = 71,946 : x
  2. Step 2: Convert to fraction form
    30,724/71,946 = 71,946/x
  3. Step 3: Cross multiply
    30,724x = 71,946 × 71,946
  4. Step 4: Simplify right side
    30,724x = 5,176,226,916
  5. Step 5: Solve for x
    x = 5,176,226,916/30,724
  6. Step 6: Final answer
    x = 168,475.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.