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Finding the Third Proportional to 218,703 and 357,120

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Solution

The third proportional to 218,703 and 357,120 is: 583,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,703 : 357,120 = 357,120 : x
  2. Step 2: Convert to fraction form
    218,703/357,120 = 357,120/x
  3. Step 3: Cross multiply
    218,703x = 357,120 × 357,120
  4. Step 4: Simplify right side
    218,703x = 127,534,694,400
  5. Step 5: Solve for x
    x = 127,534,694,400/218,703
  6. Step 6: Final answer
    x = 583,141.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.