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Finding the Third Proportional to 260,996 and 556,154

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Solution

The third proportional to 260,996 and 556,154 is: 1,185,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,996 : 556,154 = 556,154 : x
  2. Step 2: Convert to fraction form
    260,996/556,154 = 556,154/x
  3. Step 3: Cross multiply
    260,996x = 556,154 × 556,154
  4. Step 4: Simplify right side
    260,996x = 309,307,271,716
  5. Step 5: Solve for x
    x = 309,307,271,716/260,996
  6. Step 6: Final answer
    x = 1,185,103.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.