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Finding the Third Proportional to 277,280 and 414,072

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Solution

The third proportional to 277,280 and 414,072 is: 618,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,280 : 414,072 = 414,072 : x
  2. Step 2: Convert to fraction form
    277,280/414,072 = 414,072/x
  3. Step 3: Cross multiply
    277,280x = 414,072 × 414,072
  4. Step 4: Simplify right side
    277,280x = 171,455,621,184
  5. Step 5: Solve for x
    x = 171,455,621,184/277,280
  6. Step 6: Final answer
    x = 618,348.32

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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.