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Finding the Third Proportional to 255,360 and 404,157

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Solution

The third proportional to 255,360 and 404,157 is: 639,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,360 : 404,157 = 404,157 : x
  2. Step 2: Convert to fraction form
    255,360/404,157 = 404,157/x
  3. Step 3: Cross multiply
    255,360x = 404,157 × 404,157
  4. Step 4: Simplify right side
    255,360x = 163,342,880,649
  5. Step 5: Solve for x
    x = 163,342,880,649/255,360
  6. Step 6: Final answer
    x = 639,657.27

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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.