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Finding the Third Proportional to 120,639 and 265,072

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Solution

The third proportional to 120,639 and 265,072 is: 582,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639 : 265,072 = 265,072 : x
  2. Step 2: Convert to fraction form
    120,639/265,072 = 265,072/x
  3. Step 3: Cross multiply
    120,639x = 265,072 × 265,072
  4. Step 4: Simplify right side
    120,639x = 70,263,165,184
  5. Step 5: Solve for x
    x = 70,263,165,184/120,639
  6. Step 6: Final answer
    x = 582,424.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.