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Finding the Third Proportional to 643,908 and 946,104

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Solution

The third proportional to 643,908 and 946,104 is: 1,390,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,908 : 946,104 = 946,104 : x
  2. Step 2: Convert to fraction form
    643,908/946,104 = 946,104/x
  3. Step 3: Cross multiply
    643,908x = 946,104 × 946,104
  4. Step 4: Simplify right side
    643,908x = 895,112,778,816
  5. Step 5: Solve for x
    x = 895,112,778,816/643,908
  6. Step 6: Final answer
    x = 1,390,125.26

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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.