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Finding the Third Proportional to 119.63 and 259.13

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Solution

The third proportional to 119.63 and 259.13 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 259.13 = 259.13 : x
  2. Step 2: Convert to fraction form
    119.63/259.13 = 259.13/x
  3. Step 3: Cross multiply
    119.63x = 259.13 × 259.13
  4. Step 4: Simplify right side
    119.63x = 67,145.77
  5. Step 5: Solve for x
    x = 67,145.77/119.63
  6. Step 6: Final answer
    x = 561.30

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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.