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Finding the Third Proportional to 214,573 and 315,289

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Solution

The third proportional to 214,573 and 315,289 is: 463,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,573 : 315,289 = 315,289 : x
  2. Step 2: Convert to fraction form
    214,573/315,289 = 315,289/x
  3. Step 3: Cross multiply
    214,573x = 315,289 × 315,289
  4. Step 4: Simplify right side
    214,573x = 99,407,153,521
  5. Step 5: Solve for x
    x = 99,407,153,521/214,573
  6. Step 6: Final answer
    x = 463,278.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.