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Finding the Third Proportional to 20,778 and 45,445

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Solution

The third proportional to 20,778 and 45,445 is: 99,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 45,445 = 45,445 : x
  2. Step 2: Convert to fraction form
    20,778/45,445 = 45,445/x
  3. Step 3: Cross multiply
    20,778x = 45,445 × 45,445
  4. Step 4: Simplify right side
    20,778x = 2,065,248,025
  5. Step 5: Solve for x
    x = 2,065,248,025/20,778
  6. Step 6: Final answer
    x = 99,395.90

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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.