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Finding the Third Proportional to 71,827 and 145,706

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Solution

The third proportional to 71,827 and 145,706 is: 295,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,827 : 145,706 = 145,706 : x
  2. Step 2: Convert to fraction form
    71,827/145,706 = 145,706/x
  3. Step 3: Cross multiply
    71,827x = 145,706 × 145,706
  4. Step 4: Simplify right side
    71,827x = 21,230,238,436
  5. Step 5: Solve for x
    x = 21,230,238,436/71,827
  6. Step 6: Final answer
    x = 295,574.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.