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Finding the Third Proportional to 493,945 and 785,495

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Solution

The third proportional to 493,945 and 785,495 is: 1,249,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,945 : 785,495 = 785,495 : x
  2. Step 2: Convert to fraction form
    493,945/785,495 = 785,495/x
  3. Step 3: Cross multiply
    493,945x = 785,495 × 785,495
  4. Step 4: Simplify right side
    493,945x = 617,002,395,025
  5. Step 5: Solve for x
    x = 617,002,395,025/493,945
  6. Step 6: Final answer
    x = 1,249,131.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.