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Finding the Third Proportional to 255,746 and 557,284

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Solution

The third proportional to 255,746 and 557,284 is: 1,214,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746 : 557,284 = 557,284 : x
  2. Step 2: Convert to fraction form
    255,746/557,284 = 557,284/x
  3. Step 3: Cross multiply
    255,746x = 557,284 × 557,284
  4. Step 4: Simplify right side
    255,746x = 310,565,456,656
  5. Step 5: Solve for x
    x = 310,565,456,656/255,746
  6. Step 6: Final answer
    x = 1,214,351.18

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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.