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Finding the Third Proportional to 310,604 and 661,880

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Solution

The third proportional to 310,604 and 661,880 is: 1,410,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,604 : 661,880 = 661,880 : x
  2. Step 2: Convert to fraction form
    310,604/661,880 = 661,880/x
  3. Step 3: Cross multiply
    310,604x = 661,880 × 661,880
  4. Step 4: Simplify right side
    310,604x = 438,085,134,400
  5. Step 5: Solve for x
    x = 438,085,134,400/310,604
  6. Step 6: Final answer
    x = 1,410,429.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.