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Finding the Third Proportional to 188,486 and 277,074

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Solution

The third proportional to 188,486 and 277,074 is: 407,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,486 : 277,074 = 277,074 : x
  2. Step 2: Convert to fraction form
    188,486/277,074 = 277,074/x
  3. Step 3: Cross multiply
    188,486x = 277,074 × 277,074
  4. Step 4: Simplify right side
    188,486x = 76,770,001,476
  5. Step 5: Solve for x
    x = 76,770,001,476/188,486
  6. Step 6: Final answer
    x = 407,298.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.