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Finding the Third Proportional to 277,338 and 608,776

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Solution

The third proportional to 277,338 and 608,776 is: 1,336,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,338 : 608,776 = 608,776 : x
  2. Step 2: Convert to fraction form
    277,338/608,776 = 608,776/x
  3. Step 3: Cross multiply
    277,338x = 608,776 × 608,776
  4. Step 4: Simplify right side
    277,338x = 370,608,218,176
  5. Step 5: Solve for x
    x = 370,608,218,176/277,338
  6. Step 6: Final answer
    x = 1,336,305.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.