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Finding the Third Proportional to 18,216 and 28,624.50

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Solution

The third proportional to 18,216 and 28,624.50 is: 44,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,216 : 28,624.50 = 28,624.50 : x
  2. Step 2: Convert to fraction form
    18,216/28,624.50 = 28,624.50/x
  3. Step 3: Cross multiply
    18,216x = 28,624.50 × 28,624.50
  4. Step 4: Simplify right side
    18,216x = 819,362,000.25
  5. Step 5: Solve for x
    x = 819,362,000.25/18,216
  6. Step 6: Final answer
    x = 44,980.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.