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Finding the Third Proportional to 643,309 and 946,252

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Solution

The third proportional to 643,309 and 946,252 is: 1,391,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,309 : 946,252 = 946,252 : x
  2. Step 2: Convert to fraction form
    643,309/946,252 = 946,252/x
  3. Step 3: Cross multiply
    643,309x = 946,252 × 946,252
  4. Step 4: Simplify right side
    643,309x = 895,392,847,504
  5. Step 5: Solve for x
    x = 895,392,847,504/643,309
  6. Step 6: Final answer
    x = 1,391,855.00

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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.