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Finding the Third Proportional to 18,306 and 23,709

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Solution

The third proportional to 18,306 and 23,709 is: 30,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 23,709 = 23,709 : x
  2. Step 2: Convert to fraction form
    18,306/23,709 = 23,709/x
  3. Step 3: Cross multiply
    18,306x = 23,709 × 23,709
  4. Step 4: Simplify right side
    18,306x = 562,116,681
  5. Step 5: Solve for x
    x = 562,116,681/18,306
  6. Step 6: Final answer
    x = 30,706.69

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.