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Finding the Third Proportional to 115,023 and 256,830

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Solution

The third proportional to 115,023 and 256,830 is: 573,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,023 : 256,830 = 256,830 : x
  2. Step 2: Convert to fraction form
    115,023/256,830 = 256,830/x
  3. Step 3: Cross multiply
    115,023x = 256,830 × 256,830
  4. Step 4: Simplify right side
    115,023x = 65,961,648,900
  5. Step 5: Solve for x
    x = 65,961,648,900/115,023
  6. Step 6: Final answer
    x = 573,464.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.