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Finding the Third Proportional to 644,017.50 and 946,333.13

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Solution

The third proportional to 644,017.50 and 946,333.13 is: 1,390,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,017.50 : 946,333.13 = 946,333.13 : x
  2. Step 2: Convert to fraction form
    644,017.50/946,333.13 = 946,333.13/x
  3. Step 3: Cross multiply
    644,017.50x = 946,333.13 × 946,333.13
  4. Step 4: Simplify right side
    644,017.50x = 895,546,383,472.27
  5. Step 5: Solve for x
    x = 895,546,383,472.27/644,017.50
  6. Step 6: Final answer
    x = 1,390,562.19

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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.