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Finding the Third Proportional to 421,777 and 910,905

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Solution

The third proportional to 421,777 and 910,905 is: 1,967,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,777 : 910,905 = 910,905 : x
  2. Step 2: Convert to fraction form
    421,777/910,905 = 910,905/x
  3. Step 3: Cross multiply
    421,777x = 910,905 × 910,905
  4. Step 4: Simplify right side
    421,777x = 829,747,919,025
  5. Step 5: Solve for x
    x = 829,747,919,025/421,777
  6. Step 6: Final answer
    x = 1,967,266.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.