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Finding the Third Proportional to 644,920 and 946,465

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Solution

The third proportional to 644,920 and 946,465 is: 1,389,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,920 : 946,465 = 946,465 : x
  2. Step 2: Convert to fraction form
    644,920/946,465 = 946,465/x
  3. Step 3: Cross multiply
    644,920x = 946,465 × 946,465
  4. Step 4: Simplify right side
    644,920x = 895,795,996,225
  5. Step 5: Solve for x
    x = 895,795,996,225/644,920
  6. Step 6: Final answer
    x = 1,389,003.28

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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.