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Finding the Third Proportional to 255,354 and 404,148

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Solution

The third proportional to 255,354 and 404,148 is: 639,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,354 : 404,148 = 404,148 : x
  2. Step 2: Convert to fraction form
    255,354/404,148 = 404,148/x
  3. Step 3: Cross multiply
    255,354x = 404,148 × 404,148
  4. Step 4: Simplify right side
    255,354x = 163,335,605,904
  5. Step 5: Solve for x
    x = 163,335,605,904/255,354
  6. Step 6: Final answer
    x = 639,643.81

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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.