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Finding the Third Proportional to 643,924 and 946,128

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Solution

The third proportional to 643,924 and 946,128 is: 1,390,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,924 : 946,128 = 946,128 : x
  2. Step 2: Convert to fraction form
    643,924/946,128 = 946,128/x
  3. Step 3: Cross multiply
    643,924x = 946,128 × 946,128
  4. Step 4: Simplify right side
    643,924x = 895,158,192,384
  5. Step 5: Solve for x
    x = 895,158,192,384/643,924
  6. Step 6: Final answer
    x = 1,390,161.25

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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.