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Finding the Third Proportional to 301,810 and 639,598

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Solution

The third proportional to 301,810 and 639,598 is: 1,355,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,810 : 639,598 = 639,598 : x
  2. Step 2: Convert to fraction form
    301,810/639,598 = 639,598/x
  3. Step 3: Cross multiply
    301,810x = 639,598 × 639,598
  4. Step 4: Simplify right side
    301,810x = 409,085,601,604
  5. Step 5: Solve for x
    x = 409,085,601,604/301,810
  6. Step 6: Final answer
    x = 1,355,440.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.