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Finding the Third Proportional to 218,402 and 293,485

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Solution

The third proportional to 218,402 and 293,485 is: 394,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,402 : 293,485 = 293,485 : x
  2. Step 2: Convert to fraction form
    218,402/293,485 = 293,485/x
  3. Step 3: Cross multiply
    218,402x = 293,485 × 293,485
  4. Step 4: Simplify right side
    218,402x = 86,133,445,225
  5. Step 5: Solve for x
    x = 86,133,445,225/218,402
  6. Step 6: Final answer
    x = 394,380.30

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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.