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Finding the Third Proportional to 289,540 and 417,701

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Solution

The third proportional to 289,540 and 417,701 is: 602,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,540 : 417,701 = 417,701 : x
  2. Step 2: Convert to fraction form
    289,540/417,701 = 417,701/x
  3. Step 3: Cross multiply
    289,540x = 417,701 × 417,701
  4. Step 4: Simplify right side
    289,540x = 174,474,125,401
  5. Step 5: Solve for x
    x = 174,474,125,401/289,540
  6. Step 6: Final answer
    x = 602,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.