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Finding the Third Proportional to 255,123 and 556,174

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Solution

The third proportional to 255,123 and 556,174 is: 1,212,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,123 : 556,174 = 556,174 : x
  2. Step 2: Convert to fraction form
    255,123/556,174 = 556,174/x
  3. Step 3: Cross multiply
    255,123x = 556,174 × 556,174
  4. Step 4: Simplify right side
    255,123x = 309,329,518,276
  5. Step 5: Solve for x
    x = 309,329,518,276/255,123
  6. Step 6: Final answer
    x = 1,212,472.09

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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.