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Finding the Third Proportional to 121,041 and 258,553

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Solution

The third proportional to 121,041 and 258,553 is: 552,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,041 : 258,553 = 258,553 : x
  2. Step 2: Convert to fraction form
    121,041/258,553 = 258,553/x
  3. Step 3: Cross multiply
    121,041x = 258,553 × 258,553
  4. Step 4: Simplify right side
    121,041x = 66,849,653,809
  5. Step 5: Solve for x
    x = 66,849,653,809/121,041
  6. Step 6: Final answer
    x = 552,289.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.