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Finding the Third Proportional to 214,404 and 457,280

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Solution

The third proportional to 214,404 and 457,280 is: 975,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404 : 457,280 = 457,280 : x
  2. Step 2: Convert to fraction form
    214,404/457,280 = 457,280/x
  3. Step 3: Cross multiply
    214,404x = 457,280 × 457,280
  4. Step 4: Simplify right side
    214,404x = 209,104,998,400
  5. Step 5: Solve for x
    x = 209,104,998,400/214,404
  6. Step 6: Final answer
    x = 975,284.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.