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Finding the Third Proportional to 9,495 and 20,807

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Solution

The third proportional to 9,495 and 20,807 is: 45,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495 : 20,807 = 20,807 : x
  2. Step 2: Convert to fraction form
    9,495/20,807 = 20,807/x
  3. Step 3: Cross multiply
    9,495x = 20,807 × 20,807
  4. Step 4: Simplify right side
    9,495x = 432,931,249
  5. Step 5: Solve for x
    x = 432,931,249/9,495
  6. Step 6: Final answer
    x = 45,595.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.