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Finding the Third Proportional to 277,290 and 411,858

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Solution

The third proportional to 277,290 and 411,858 is: 611,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290 : 411,858 = 411,858 : x
  2. Step 2: Convert to fraction form
    277,290/411,858 = 411,858/x
  3. Step 3: Cross multiply
    277,290x = 411,858 × 411,858
  4. Step 4: Simplify right side
    277,290x = 169,627,012,164
  5. Step 5: Solve for x
    x = 169,627,012,164/277,290
  6. Step 6: Final answer
    x = 611,731.44

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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.