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Finding the Third Proportional to 277,276 and 414,066

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Solution

The third proportional to 277,276 and 414,066 is: 618,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,276 : 414,066 = 414,066 : x
  2. Step 2: Convert to fraction form
    277,276/414,066 = 414,066/x
  3. Step 3: Cross multiply
    277,276x = 414,066 × 414,066
  4. Step 4: Simplify right side
    277,276x = 171,450,652,356
  5. Step 5: Solve for x
    x = 171,450,652,356/277,276
  6. Step 6: Final answer
    x = 618,339.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.