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Finding the Third Proportional to 9,462 and 20,585

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Solution

The third proportional to 9,462 and 20,585 is: 44,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462 : 20,585 = 20,585 : x
  2. Step 2: Convert to fraction form
    9,462/20,585 = 20,585/x
  3. Step 3: Cross multiply
    9,462x = 20,585 × 20,585
  4. Step 4: Simplify right side
    9,462x = 423,742,225
  5. Step 5: Solve for x
    x = 423,742,225/9,462
  6. Step 6: Final answer
    x = 44,783.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.