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Finding the Third Proportional to 121,248 and 265,176

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Solution

The third proportional to 121,248 and 265,176 is: 579,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,248 : 265,176 = 265,176 : x
  2. Step 2: Convert to fraction form
    121,248/265,176 = 265,176/x
  3. Step 3: Cross multiply
    121,248x = 265,176 × 265,176
  4. Step 4: Simplify right side
    121,248x = 70,318,310,976
  5. Step 5: Solve for x
    x = 70,318,310,976/121,248
  6. Step 6: Final answer
    x = 579,954.40

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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.