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Finding the Third Proportional to 255,364 and 404,163

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Solution

The third proportional to 255,364 and 404,163 is: 639,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,364 : 404,163 = 404,163 : x
  2. Step 2: Convert to fraction form
    255,364/404,163 = 404,163/x
  3. Step 3: Cross multiply
    255,364x = 404,163 × 404,163
  4. Step 4: Simplify right side
    255,364x = 163,347,730,569
  5. Step 5: Solve for x
    x = 163,347,730,569/255,364
  6. Step 6: Final answer
    x = 639,666.24

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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.