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Finding the Third Proportional to 43,020 and 69,306

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Solution

The third proportional to 43,020 and 69,306 is: 111,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 69,306 = 69,306 : x
  2. Step 2: Convert to fraction form
    43,020/69,306 = 69,306/x
  3. Step 3: Cross multiply
    43,020x = 69,306 × 69,306
  4. Step 4: Simplify right side
    43,020x = 4,803,321,636
  5. Step 5: Solve for x
    x = 4,803,321,636/43,020
  6. Step 6: Final answer
    x = 111,653.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.