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Finding the Third Proportional to 118,309 and 256,686

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Solution

The third proportional to 118,309 and 256,686 is: 556,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,309 : 256,686 = 256,686 : x
  2. Step 2: Convert to fraction form
    118,309/256,686 = 256,686/x
  3. Step 3: Cross multiply
    118,309x = 256,686 × 256,686
  4. Step 4: Simplify right side
    118,309x = 65,887,702,596
  5. Step 5: Solve for x
    x = 65,887,702,596/118,309
  6. Step 6: Final answer
    x = 556,912.01

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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.