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Finding the Third Proportional to 242,818 and 495,270

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Solution

The third proportional to 242,818 and 495,270 is: 1,010,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,818 : 495,270 = 495,270 : x
  2. Step 2: Convert to fraction form
    242,818/495,270 = 495,270/x
  3. Step 3: Cross multiply
    242,818x = 495,270 × 495,270
  4. Step 4: Simplify right side
    242,818x = 245,292,372,900
  5. Step 5: Solve for x
    x = 245,292,372,900/242,818
  6. Step 6: Final answer
    x = 1,010,190.24

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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.