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Finding the Third Proportional to 255,378 and 404,184

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Solution

The third proportional to 255,378 and 404,184 is: 639,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,378 : 404,184 = 404,184 : x
  2. Step 2: Convert to fraction form
    255,378/404,184 = 404,184/x
  3. Step 3: Cross multiply
    255,378x = 404,184 × 404,184
  4. Step 4: Simplify right side
    255,378x = 163,364,705,856
  5. Step 5: Solve for x
    x = 163,364,705,856/255,378
  6. Step 6: Final answer
    x = 639,697.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.