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Finding the Third Proportional to 437,211 and 643,314

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Solution

The third proportional to 437,211 and 643,314 is: 946,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,211 : 643,314 = 643,314 : x
  2. Step 2: Convert to fraction form
    437,211/643,314 = 643,314/x
  3. Step 3: Cross multiply
    437,211x = 643,314 × 643,314
  4. Step 4: Simplify right side
    437,211x = 413,852,902,596
  5. Step 5: Solve for x
    x = 413,852,902,596/437,211
  6. Step 6: Final answer
    x = 946,574.77

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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.