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Finding the Third Proportional to 427,520 and 601,299

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Solution

The third proportional to 427,520 and 601,299 is: 845,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,520 : 601,299 = 601,299 : x
  2. Step 2: Convert to fraction form
    427,520/601,299 = 601,299/x
  3. Step 3: Cross multiply
    427,520x = 601,299 × 601,299
  4. Step 4: Simplify right side
    427,520x = 361,560,487,401
  5. Step 5: Solve for x
    x = 361,560,487,401/427,520
  6. Step 6: Final answer
    x = 845,715.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.