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Finding the Third Proportional to 20,986 and 45,428

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Solution

The third proportional to 20,986 and 45,428 is: 98,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 45,428 = 45,428 : x
  2. Step 2: Convert to fraction form
    20,986/45,428 = 45,428/x
  3. Step 3: Cross multiply
    20,986x = 45,428 × 45,428
  4. Step 4: Simplify right side
    20,986x = 2,063,703,184
  5. Step 5: Solve for x
    x = 2,063,703,184/20,986
  6. Step 6: Final answer
    x = 98,337.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.