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Finding the Third Proportional to 161,026 and 215,519

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Solution

The third proportional to 161,026 and 215,519 is: 288,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,026 : 215,519 = 215,519 : x
  2. Step 2: Convert to fraction form
    161,026/215,519 = 215,519/x
  3. Step 3: Cross multiply
    161,026x = 215,519 × 215,519
  4. Step 4: Simplify right side
    161,026x = 46,448,439,361
  5. Step 5: Solve for x
    x = 46,448,439,361/161,026
  6. Step 6: Final answer
    x = 288,453.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.