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Finding the Third Proportional to 215,390 and 308,315

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Solution

The third proportional to 215,390 and 308,315 is: 441,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,390 : 308,315 = 308,315 : x
  2. Step 2: Convert to fraction form
    215,390/308,315 = 308,315/x
  3. Step 3: Cross multiply
    215,390x = 308,315 × 308,315
  4. Step 4: Simplify right side
    215,390x = 95,058,139,225
  5. Step 5: Solve for x
    x = 95,058,139,225/215,390
  6. Step 6: Final answer
    x = 441,330.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.