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Finding the Third Proportional to 120,865 and 265,057

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Solution

The third proportional to 120,865 and 265,057 is: 581,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865 : 265,057 = 265,057 : x
  2. Step 2: Convert to fraction form
    120,865/265,057 = 265,057/x
  3. Step 3: Cross multiply
    120,865x = 265,057 × 265,057
  4. Step 4: Simplify right side
    120,865x = 70,255,213,249
  5. Step 5: Solve for x
    x = 70,255,213,249/120,865
  6. Step 6: Final answer
    x = 581,270.12

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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.