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Finding the Third Proportional to 120,643 and 262,021

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Solution

The third proportional to 120,643 and 262,021 is: 569,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643 : 262,021 = 262,021 : x
  2. Step 2: Convert to fraction form
    120,643/262,021 = 262,021/x
  3. Step 3: Cross multiply
    120,643x = 262,021 × 262,021
  4. Step 4: Simplify right side
    120,643x = 68,655,004,441
  5. Step 5: Solve for x
    x = 68,655,004,441/120,643
  6. Step 6: Final answer
    x = 569,075.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.