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Finding the Third Proportional to 18,413 and 28,709.50

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Solution

The third proportional to 18,413 and 28,709.50 is: 44,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413 : 28,709.50 = 28,709.50 : x
  2. Step 2: Convert to fraction form
    18,413/28,709.50 = 28,709.50/x
  3. Step 3: Cross multiply
    18,413x = 28,709.50 × 28,709.50
  4. Step 4: Simplify right side
    18,413x = 824,235,390.25
  5. Step 5: Solve for x
    x = 824,235,390.25/18,413
  6. Step 6: Final answer
    x = 44,763.78

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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.