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Finding the Third Proportional to 643,920 and 946,122

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Solution

The third proportional to 643,920 and 946,122 is: 1,390,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,920 : 946,122 = 946,122 : x
  2. Step 2: Convert to fraction form
    643,920/946,122 = 946,122/x
  3. Step 3: Cross multiply
    643,920x = 946,122 × 946,122
  4. Step 4: Simplify right side
    643,920x = 895,146,838,884
  5. Step 5: Solve for x
    x = 895,146,838,884/643,920
  6. Step 6: Final answer
    x = 1,390,152.25

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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.