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Finding the Third Proportional to 505,276 and 763,148

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Solution

The third proportional to 505,276 and 763,148 is: 1,152,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,276 : 763,148 = 763,148 : x
  2. Step 2: Convert to fraction form
    505,276/763,148 = 763,148/x
  3. Step 3: Cross multiply
    505,276x = 763,148 × 763,148
  4. Step 4: Simplify right side
    505,276x = 582,394,869,904
  5. Step 5: Solve for x
    x = 582,394,869,904/505,276
  6. Step 6: Final answer
    x = 1,152,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.