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Finding the Third Proportional to 271,526 and 420,010

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Solution

The third proportional to 271,526 and 420,010 is: 649,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,526 : 420,010 = 420,010 : x
  2. Step 2: Convert to fraction form
    271,526/420,010 = 420,010/x
  3. Step 3: Cross multiply
    271,526x = 420,010 × 420,010
  4. Step 4: Simplify right side
    271,526x = 176,408,400,100
  5. Step 5: Solve for x
    x = 176,408,400,100/271,526
  6. Step 6: Final answer
    x = 649,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.