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Finding the Third Proportional to 121,169 and 256,914

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Solution

The third proportional to 121,169 and 256,914 is: 544,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169 : 256,914 = 256,914 : x
  2. Step 2: Convert to fraction form
    121,169/256,914 = 256,914/x
  3. Step 3: Cross multiply
    121,169x = 256,914 × 256,914
  4. Step 4: Simplify right side
    121,169x = 66,004,803,396
  5. Step 5: Solve for x
    x = 66,004,803,396/121,169
  6. Step 6: Final answer
    x = 544,733.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.