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Finding the Third Proportional to 643,998.50 and 946,306

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Solution

The third proportional to 643,998.50 and 946,306 is: 1,390,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,998.50 : 946,306 = 946,306 : x
  2. Step 2: Convert to fraction form
    643,998.50/946,306 = 946,306/x
  3. Step 3: Cross multiply
    643,998.50x = 946,306 × 946,306
  4. Step 4: Simplify right side
    643,998.50x = 895,495,045,636
  5. Step 5: Solve for x
    x = 895,495,045,636/643,998.50
  6. Step 6: Final answer
    x = 1,390,523.50

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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.