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Finding the Third Proportional to 18,409 and 28,706

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Solution

The third proportional to 18,409 and 28,706 is: 44,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409 : 28,706 = 28,706 : x
  2. Step 2: Convert to fraction form
    18,409/28,706 = 28,706/x
  3. Step 3: Cross multiply
    18,409x = 28,706 × 28,706
  4. Step 4: Simplify right side
    18,409x = 824,034,436
  5. Step 5: Solve for x
    x = 824,034,436/18,409
  6. Step 6: Final answer
    x = 44,762.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.