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Finding the Third Proportional to 215,240 and 424,984

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Solution

The third proportional to 215,240 and 424,984 is: 839,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,240 : 424,984 = 424,984 : x
  2. Step 2: Convert to fraction form
    215,240/424,984 = 424,984/x
  3. Step 3: Cross multiply
    215,240x = 424,984 × 424,984
  4. Step 4: Simplify right side
    215,240x = 180,611,400,256
  5. Step 5: Solve for x
    x = 180,611,400,256/215,240
  6. Step 6: Final answer
    x = 839,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.