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Finding the Third Proportional to 243,256 and 364,520

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Solution

The third proportional to 243,256 and 364,520 is: 546,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,256 : 364,520 = 364,520 : x
  2. Step 2: Convert to fraction form
    243,256/364,520 = 364,520/x
  3. Step 3: Cross multiply
    243,256x = 364,520 × 364,520
  4. Step 4: Simplify right side
    243,256x = 132,874,830,400
  5. Step 5: Solve for x
    x = 132,874,830,400/243,256
  6. Step 6: Final answer
    x = 546,234.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.