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Finding the Third Proportional to 156,021 and 256,281

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Solution

The third proportional to 156,021 and 256,281 is: 420,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,021 : 256,281 = 256,281 : x
  2. Step 2: Convert to fraction form
    156,021/256,281 = 256,281/x
  3. Step 3: Cross multiply
    156,021x = 256,281 × 256,281
  4. Step 4: Simplify right side
    156,021x = 65,679,950,961
  5. Step 5: Solve for x
    x = 65,679,950,961/156,021
  6. Step 6: Final answer
    x = 420,968.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.