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Finding the Third Proportional to 255,746 and 556,456

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Solution

The third proportional to 255,746 and 556,456 is: 1,210,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746 : 556,456 = 556,456 : x
  2. Step 2: Convert to fraction form
    255,746/556,456 = 556,456/x
  3. Step 3: Cross multiply
    255,746x = 556,456 × 556,456
  4. Step 4: Simplify right side
    255,746x = 309,643,279,936
  5. Step 5: Solve for x
    x = 309,643,279,936/255,746
  6. Step 6: Final answer
    x = 1,210,745.35

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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.