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Finding the Third Proportional to 272,026 and 409,084

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Solution

The third proportional to 272,026 and 409,084 is: 615,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,026 : 409,084 = 409,084 : x
  2. Step 2: Convert to fraction form
    272,026/409,084 = 409,084/x
  3. Step 3: Cross multiply
    272,026x = 409,084 × 409,084
  4. Step 4: Simplify right side
    272,026x = 167,349,719,056
  5. Step 5: Solve for x
    x = 167,349,719,056/272,026
  6. Step 6: Final answer
    x = 615,197.51

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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.