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Finding the Third Proportional to 277,388 and 406,208

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Solution

The third proportional to 277,388 and 406,208 is: 594,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,388 : 406,208 = 406,208 : x
  2. Step 2: Convert to fraction form
    277,388/406,208 = 406,208/x
  3. Step 3: Cross multiply
    277,388x = 406,208 × 406,208
  4. Step 4: Simplify right side
    277,388x = 165,004,939,264
  5. Step 5: Solve for x
    x = 165,004,939,264/277,388
  6. Step 6: Final answer
    x = 594,852.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.