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Finding the Third Proportional to 643,286.81 and 946,218.94

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Solution

The third proportional to 643,286.81 and 946,218.94 is: 1,391,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,286.81 : 946,218.94 = 946,218.94 : x
  2. Step 2: Convert to fraction form
    643,286.81/946,218.94 = 946,218.94/x
  3. Step 3: Cross multiply
    643,286.81x = 946,218.94 × 946,218.94
  4. Step 4: Simplify right side
    643,286.81x = 895,330,277,683.63
  5. Step 5: Solve for x
    x = 895,330,277,683.63/643,286.81
  6. Step 6: Final answer
    x = 1,391,805.74

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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.