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Finding the Third Proportional to 221,469 and 341,984

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Solution

The third proportional to 221,469 and 341,984 is: 528,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,469 : 341,984 = 341,984 : x
  2. Step 2: Convert to fraction form
    221,469/341,984 = 341,984/x
  3. Step 3: Cross multiply
    221,469x = 341,984 × 341,984
  4. Step 4: Simplify right side
    221,469x = 116,953,056,256
  5. Step 5: Solve for x
    x = 116,953,056,256/221,469
  6. Step 6: Final answer
    x = 528,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.