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Finding the Third Proportional to 113,810 and 248,640

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Solution

The third proportional to 113,810 and 248,640 is: 543,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,810 : 248,640 = 248,640 : x
  2. Step 2: Convert to fraction form
    113,810/248,640 = 248,640/x
  3. Step 3: Cross multiply
    113,810x = 248,640 × 248,640
  4. Step 4: Simplify right side
    113,810x = 61,821,849,600
  5. Step 5: Solve for x
    x = 61,821,849,600/113,810
  6. Step 6: Final answer
    x = 543,202.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.