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Finding the Third Proportional to 277,310 and 438,728

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Solution

The third proportional to 277,310 and 438,728 is: 694,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310 : 438,728 = 438,728 : x
  2. Step 2: Convert to fraction form
    277,310/438,728 = 438,728/x
  3. Step 3: Cross multiply
    277,310x = 438,728 × 438,728
  4. Step 4: Simplify right side
    277,310x = 192,482,257,984
  5. Step 5: Solve for x
    x = 192,482,257,984/277,310
  6. Step 6: Final answer
    x = 694,105.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.