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Finding the Third Proportional to 644,069 and 946,380

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Solution

The third proportional to 644,069 and 946,380 is: 1,390,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,069 : 946,380 = 946,380 : x
  2. Step 2: Convert to fraction form
    644,069/946,380 = 946,380/x
  3. Step 3: Cross multiply
    644,069x = 946,380 × 946,380
  4. Step 4: Simplify right side
    644,069x = 895,635,104,400
  5. Step 5: Solve for x
    x = 895,635,104,400/644,069
  6. Step 6: Final answer
    x = 1,390,588.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.