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Finding the Third Proportional to 643,059 and 945,351

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Solution

The third proportional to 643,059 and 945,351 is: 1,389,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,059 : 945,351 = 945,351 : x
  2. Step 2: Convert to fraction form
    643,059/945,351 = 945,351/x
  3. Step 3: Cross multiply
    643,059x = 945,351 × 945,351
  4. Step 4: Simplify right side
    643,059x = 893,688,513,201
  5. Step 5: Solve for x
    x = 893,688,513,201/643,059
  6. Step 6: Final answer
    x = 1,389,745.75

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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.