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Finding the Third Proportional to 120,020 and 262,636

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Solution

The third proportional to 120,020 and 262,636 is: 574,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,020 : 262,636 = 262,636 : x
  2. Step 2: Convert to fraction form
    120,020/262,636 = 262,636/x
  3. Step 3: Cross multiply
    120,020x = 262,636 × 262,636
  4. Step 4: Simplify right side
    120,020x = 68,977,668,496
  5. Step 5: Solve for x
    x = 68,977,668,496/120,020
  6. Step 6: Final answer
    x = 574,718.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.