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Finding the Third Proportional to 643,287 and 946,219

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Solution

The third proportional to 643,287 and 946,219 is: 1,391,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,287 : 946,219 = 946,219 : x
  2. Step 2: Convert to fraction form
    643,287/946,219 = 946,219/x
  3. Step 3: Cross multiply
    643,287x = 946,219 × 946,219
  4. Step 4: Simplify right side
    643,287x = 895,330,395,961
  5. Step 5: Solve for x
    x = 895,330,395,961/643,287
  6. Step 6: Final answer
    x = 1,391,805.52

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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.