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Finding the Third Proportional to 242,811 and 495,261

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Solution

The third proportional to 242,811 and 495,261 is: 1,010,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,811 : 495,261 = 495,261 : x
  2. Step 2: Convert to fraction form
    242,811/495,261 = 495,261/x
  3. Step 3: Cross multiply
    242,811x = 495,261 × 495,261
  4. Step 4: Simplify right side
    242,811x = 245,283,458,121
  5. Step 5: Solve for x
    x = 245,283,458,121/242,811
  6. Step 6: Final answer
    x = 1,010,182.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.