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Finding the Third Proportional to 302,826 and 637,040

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Solution

The third proportional to 302,826 and 637,040 is: 1,340,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,826 : 637,040 = 637,040 : x
  2. Step 2: Convert to fraction form
    302,826/637,040 = 637,040/x
  3. Step 3: Cross multiply
    302,826x = 637,040 × 637,040
  4. Step 4: Simplify right side
    302,826x = 405,819,961,600
  5. Step 5: Solve for x
    x = 405,819,961,600/302,826
  6. Step 6: Final answer
    x = 1,340,109.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.