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Finding the Third Proportional to 120,872 and 262,507

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Solution

The third proportional to 120,872 and 262,507 is: 570,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,872 : 262,507 = 262,507 : x
  2. Step 2: Convert to fraction form
    120,872/262,507 = 262,507/x
  3. Step 3: Cross multiply
    120,872x = 262,507 × 262,507
  4. Step 4: Simplify right side
    120,872x = 68,909,925,049
  5. Step 5: Solve for x
    x = 68,909,925,049/120,872
  6. Step 6: Final answer
    x = 570,106.60

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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.