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Finding the Third Proportional to 117,210 and 258,324

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Solution

The third proportional to 117,210 and 258,324 is: 569,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,210 : 258,324 = 258,324 : x
  2. Step 2: Convert to fraction form
    117,210/258,324 = 258,324/x
  3. Step 3: Cross multiply
    117,210x = 258,324 × 258,324
  4. Step 4: Simplify right side
    117,210x = 66,731,288,976
  5. Step 5: Solve for x
    x = 66,731,288,976/117,210
  6. Step 6: Final answer
    x = 569,331.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.