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Finding the Third Proportional to 641,930 and 993,433

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Solution

The third proportional to 641,930 and 993,433 is: 1,537,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,930 : 993,433 = 993,433 : x
  2. Step 2: Convert to fraction form
    641,930/993,433 = 993,433/x
  3. Step 3: Cross multiply
    641,930x = 993,433 × 993,433
  4. Step 4: Simplify right side
    641,930x = 986,909,125,489
  5. Step 5: Solve for x
    x = 986,909,125,489/641,930
  6. Step 6: Final answer
    x = 1,537,409.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.