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Finding the Third Proportional to 217,658 and 457,349

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Solution

The third proportional to 217,658 and 457,349 is: 960,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,658 : 457,349 = 457,349 : x
  2. Step 2: Convert to fraction form
    217,658/457,349 = 457,349/x
  3. Step 3: Cross multiply
    217,658x = 457,349 × 457,349
  4. Step 4: Simplify right side
    217,658x = 209,168,107,801
  5. Step 5: Solve for x
    x = 209,168,107,801/217,658
  6. Step 6: Final answer
    x = 960,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.