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Finding the Third Proportional to 214,518 and 457,521

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Solution

The third proportional to 214,518 and 457,521 is: 975,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,518 : 457,521 = 457,521 : x
  2. Step 2: Convert to fraction form
    214,518/457,521 = 457,521/x
  3. Step 3: Cross multiply
    214,518x = 457,521 × 457,521
  4. Step 4: Simplify right side
    214,518x = 209,325,465,441
  5. Step 5: Solve for x
    x = 209,325,465,441/214,518
  6. Step 6: Final answer
    x = 975,794.41

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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.