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Finding the Third Proportional to 115,830 and 253,828

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Solution

The third proportional to 115,830 and 253,828 is: 556,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830 : 253,828 = 253,828 : x
  2. Step 2: Convert to fraction form
    115,830/253,828 = 253,828/x
  3. Step 3: Cross multiply
    115,830x = 253,828 × 253,828
  4. Step 4: Simplify right side
    115,830x = 64,428,653,584
  5. Step 5: Solve for x
    x = 64,428,653,584/115,830
  6. Step 6: Final answer
    x = 556,234.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.