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Finding the Third Proportional to 182,550 and 399,455

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Solution

The third proportional to 182,550 and 399,455 is: 874,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,550 : 399,455 = 399,455 : x
  2. Step 2: Convert to fraction form
    182,550/399,455 = 399,455/x
  3. Step 3: Cross multiply
    182,550x = 399,455 × 399,455
  4. Step 4: Simplify right side
    182,550x = 159,564,297,025
  5. Step 5: Solve for x
    x = 159,564,297,025/182,550
  6. Step 6: Final answer
    x = 874,085.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.