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Finding the Third Proportional to 130,858 and 256,247

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Solution

The third proportional to 130,858 and 256,247 is: 501,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,858 : 256,247 = 256,247 : x
  2. Step 2: Convert to fraction form
    130,858/256,247 = 256,247/x
  3. Step 3: Cross multiply
    130,858x = 256,247 × 256,247
  4. Step 4: Simplify right side
    130,858x = 65,662,525,009
  5. Step 5: Solve for x
    x = 65,662,525,009/130,858
  6. Step 6: Final answer
    x = 501,784.57

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.