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Finding the Third Proportional to 295,341 and 644,135

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Solution

The third proportional to 295,341 and 644,135 is: 1,404,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,341 : 644,135 = 644,135 : x
  2. Step 2: Convert to fraction form
    295,341/644,135 = 644,135/x
  3. Step 3: Cross multiply
    295,341x = 644,135 × 644,135
  4. Step 4: Simplify right side
    295,341x = 414,909,898,225
  5. Step 5: Solve for x
    x = 414,909,898,225/295,341
  6. Step 6: Final answer
    x = 1,404,850.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.