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Finding the Third Proportional to 130,169 and 263,959

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Solution

The third proportional to 130,169 and 263,959 is: 535,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,169 : 263,959 = 263,959 : x
  2. Step 2: Convert to fraction form
    130,169/263,959 = 263,959/x
  3. Step 3: Cross multiply
    130,169x = 263,959 × 263,959
  4. Step 4: Simplify right side
    130,169x = 69,674,353,681
  5. Step 5: Solve for x
    x = 69,674,353,681/130,169
  6. Step 6: Final answer
    x = 535,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.