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Finding the Third Proportional to 218,912 and 357,420

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Solution

The third proportional to 218,912 and 357,420 is: 583,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,912 : 357,420 = 357,420 : x
  2. Step 2: Convert to fraction form
    218,912/357,420 = 357,420/x
  3. Step 3: Cross multiply
    218,912x = 357,420 × 357,420
  4. Step 4: Simplify right side
    218,912x = 127,749,056,400
  5. Step 5: Solve for x
    x = 127,749,056,400/218,912
  6. Step 6: Final answer
    x = 583,563.52

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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.