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Finding the Third Proportional to 218,872 and 357,360

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Solution

The third proportional to 218,872 and 357,360 is: 583,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872 : 357,360 = 357,360 : x
  2. Step 2: Convert to fraction form
    218,872/357,360 = 357,360/x
  3. Step 3: Cross multiply
    218,872x = 357,360 × 357,360
  4. Step 4: Simplify right side
    218,872x = 127,706,169,600
  5. Step 5: Solve for x
    x = 127,706,169,600/218,872
  6. Step 6: Final answer
    x = 583,474.22

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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.