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Finding the Third Proportional to 242,813 and 495,265

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Solution

The third proportional to 242,813 and 495,265 is: 1,010,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,813 : 495,265 = 495,265 : x
  2. Step 2: Convert to fraction form
    242,813/495,265 = 495,265/x
  3. Step 3: Cross multiply
    242,813x = 495,265 × 495,265
  4. Step 4: Simplify right side
    242,813x = 245,287,420,225
  5. Step 5: Solve for x
    x = 245,287,420,225/242,813
  6. Step 6: Final answer
    x = 1,010,190.64

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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.