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Finding the Third Proportional to 188,490 and 277,079

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Solution

The third proportional to 188,490 and 277,079 is: 407,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,490 : 277,079 = 277,079 : x
  2. Step 2: Convert to fraction form
    188,490/277,079 = 277,079/x
  3. Step 3: Cross multiply
    188,490x = 277,079 × 277,079
  4. Step 4: Simplify right side
    188,490x = 76,772,772,241
  5. Step 5: Solve for x
    x = 76,772,772,241/188,490
  6. Step 6: Final answer
    x = 407,304.22

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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.