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Finding the Third Proportional to 20,684 and 45,316

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Solution

The third proportional to 20,684 and 45,316 is: 99,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684 : 45,316 = 45,316 : x
  2. Step 2: Convert to fraction form
    20,684/45,316 = 45,316/x
  3. Step 3: Cross multiply
    20,684x = 45,316 × 45,316
  4. Step 4: Simplify right side
    20,684x = 2,053,539,856
  5. Step 5: Solve for x
    x = 2,053,539,856/20,684
  6. Step 6: Final answer
    x = 99,281.56

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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.