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Finding the Third Proportional to 183,687 and 283,715

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Solution

The third proportional to 183,687 and 283,715 is: 438,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,687 : 283,715 = 283,715 : x
  2. Step 2: Convert to fraction form
    183,687/283,715 = 283,715/x
  3. Step 3: Cross multiply
    183,687x = 283,715 × 283,715
  4. Step 4: Simplify right side
    183,687x = 80,494,201,225
  5. Step 5: Solve for x
    x = 80,494,201,225/183,687
  6. Step 6: Final answer
    x = 438,213.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.