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Finding the Third Proportional to 641,951 and 993,495

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Solution

The third proportional to 641,951 and 993,495 is: 1,537,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,951 : 993,495 = 993,495 : x
  2. Step 2: Convert to fraction form
    641,951/993,495 = 993,495/x
  3. Step 3: Cross multiply
    641,951x = 993,495 × 993,495
  4. Step 4: Simplify right side
    641,951x = 987,032,315,025
  5. Step 5: Solve for x
    x = 987,032,315,025/641,951
  6. Step 6: Final answer
    x = 1,537,550.86

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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.