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Finding the Third Proportional to 121,164 and 248,372

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Solution

The third proportional to 121,164 and 248,372 is: 509,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164 : 248,372 = 248,372 : x
  2. Step 2: Convert to fraction form
    121,164/248,372 = 248,372/x
  3. Step 3: Cross multiply
    121,164x = 248,372 × 248,372
  4. Step 4: Simplify right side
    121,164x = 61,688,650,384
  5. Step 5: Solve for x
    x = 61,688,650,384/121,164
  6. Step 6: Final answer
    x = 509,133.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.