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Finding the Third Proportional to 310,450 and 661,604

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Solution

The third proportional to 310,450 and 661,604 is: 1,409,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,450 : 661,604 = 661,604 : x
  2. Step 2: Convert to fraction form
    310,450/661,604 = 661,604/x
  3. Step 3: Cross multiply
    310,450x = 661,604 × 661,604
  4. Step 4: Simplify right side
    310,450x = 437,719,852,816
  5. Step 5: Solve for x
    x = 437,719,852,816/310,450
  6. Step 6: Final answer
    x = 1,409,952.82

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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.