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Finding the Third Proportional to 145,969 and 221,695

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Solution

The third proportional to 145,969 and 221,695 is: 336,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969 : 221,695 = 221,695 : x
  2. Step 2: Convert to fraction form
    145,969/221,695 = 221,695/x
  3. Step 3: Cross multiply
    145,969x = 221,695 × 221,695
  4. Step 4: Simplify right side
    145,969x = 49,148,673,025
  5. Step 5: Solve for x
    x = 49,148,673,025/145,969
  6. Step 6: Final answer
    x = 336,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.