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Finding the Third Proportional to 255,751 and 557,294

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Solution

The third proportional to 255,751 and 557,294 is: 1,214,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,751 : 557,294 = 557,294 : x
  2. Step 2: Convert to fraction form
    255,751/557,294 = 557,294/x
  3. Step 3: Cross multiply
    255,751x = 557,294 × 557,294
  4. Step 4: Simplify right side
    255,751x = 310,576,602,436
  5. Step 5: Solve for x
    x = 310,576,602,436/255,751
  6. Step 6: Final answer
    x = 1,214,371.02

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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.