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Finding the Third Proportional to 260,984 and 556,129

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Solution

The third proportional to 260,984 and 556,129 is: 1,185,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,984 : 556,129 = 556,129 : x
  2. Step 2: Convert to fraction form
    260,984/556,129 = 556,129/x
  3. Step 3: Cross multiply
    260,984x = 556,129 × 556,129
  4. Step 4: Simplify right side
    260,984x = 309,279,464,641
  5. Step 5: Solve for x
    x = 309,279,464,641/260,984
  6. Step 6: Final answer
    x = 1,185,051.44

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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.