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Finding the Third Proportional to 643,999 and 946,307

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Solution

The third proportional to 643,999 and 946,307 is: 1,390,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,999 : 946,307 = 946,307 : x
  2. Step 2: Convert to fraction form
    643,999/946,307 = 946,307/x
  3. Step 3: Cross multiply
    643,999x = 946,307 × 946,307
  4. Step 4: Simplify right side
    643,999x = 895,496,938,249
  5. Step 5: Solve for x
    x = 895,496,938,249/643,999
  6. Step 6: Final answer
    x = 1,390,525.36

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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.