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Finding the Third Proportional to 255,153 and 554,640

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Solution

The third proportional to 255,153 and 554,640 is: 1,205,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,153 : 554,640 = 554,640 : x
  2. Step 2: Convert to fraction form
    255,153/554,640 = 554,640/x
  3. Step 3: Cross multiply
    255,153x = 554,640 × 554,640
  4. Step 4: Simplify right side
    255,153x = 307,625,529,600
  5. Step 5: Solve for x
    x = 307,625,529,600/255,153
  6. Step 6: Final answer
    x = 1,205,651.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.