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Finding the Third Proportional to 255,110 and 556,148

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Solution

The third proportional to 255,110 and 556,148 is: 1,212,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,110 : 556,148 = 556,148 : x
  2. Step 2: Convert to fraction form
    255,110/556,148 = 556,148/x
  3. Step 3: Cross multiply
    255,110x = 556,148 × 556,148
  4. Step 4: Simplify right side
    255,110x = 309,300,597,904
  5. Step 5: Solve for x
    x = 309,300,597,904/255,110
  6. Step 6: Final answer
    x = 1,212,420.52

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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.