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Finding the Third Proportional to 262,135 and 561,620

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Solution

The third proportional to 262,135 and 561,620 is: 1,203,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,135 : 561,620 = 561,620 : x
  2. Step 2: Convert to fraction form
    262,135/561,620 = 561,620/x
  3. Step 3: Cross multiply
    262,135x = 561,620 × 561,620
  4. Step 4: Simplify right side
    262,135x = 315,417,024,400
  5. Step 5: Solve for x
    x = 315,417,024,400/262,135
  6. Step 6: Final answer
    x = 1,203,261.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.