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Finding the Third Proportional to 277,278 and 414,069

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Solution

The third proportional to 277,278 and 414,069 is: 618,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278 : 414,069 = 414,069 : x
  2. Step 2: Convert to fraction form
    277,278/414,069 = 414,069/x
  3. Step 3: Cross multiply
    277,278x = 414,069 × 414,069
  4. Step 4: Simplify right side
    277,278x = 171,453,136,761
  5. Step 5: Solve for x
    x = 171,453,136,761/277,278
  6. Step 6: Final answer
    x = 618,343.82

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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.