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Finding the Third Proportional to 117,972 and 258,090

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Solution

The third proportional to 117,972 and 258,090 is: 564,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,972 : 258,090 = 258,090 : x
  2. Step 2: Convert to fraction form
    117,972/258,090 = 258,090/x
  3. Step 3: Cross multiply
    117,972x = 258,090 × 258,090
  4. Step 4: Simplify right side
    117,972x = 66,610,448,100
  5. Step 5: Solve for x
    x = 66,610,448,100/117,972
  6. Step 6: Final answer
    x = 564,629.30

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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.