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Finding the Third Proportional to 255,122 and 556,172

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Solution

The third proportional to 255,122 and 556,172 is: 1,212,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,122 : 556,172 = 556,172 : x
  2. Step 2: Convert to fraction form
    255,122/556,172 = 556,172/x
  3. Step 3: Cross multiply
    255,122x = 556,172 × 556,172
  4. Step 4: Simplify right side
    255,122x = 309,327,293,584
  5. Step 5: Solve for x
    x = 309,327,293,584/255,122
  6. Step 6: Final answer
    x = 1,212,468.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.