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Finding the Third Proportional to 277,308 and 421,146

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Solution

The third proportional to 277,308 and 421,146 is: 639,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308 : 421,146 = 421,146 : x
  2. Step 2: Convert to fraction form
    277,308/421,146 = 421,146/x
  3. Step 3: Cross multiply
    277,308x = 421,146 × 421,146
  4. Step 4: Simplify right side
    277,308x = 177,363,953,316
  5. Step 5: Solve for x
    x = 177,363,953,316/277,308
  6. Step 6: Final answer
    x = 639,591.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.