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Finding the Third Proportional to 310,572 and 668,656

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Solution

The third proportional to 310,572 and 668,656 is: 1,439,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,572 : 668,656 = 668,656 : x
  2. Step 2: Convert to fraction form
    310,572/668,656 = 668,656/x
  3. Step 3: Cross multiply
    310,572x = 668,656 × 668,656
  4. Step 4: Simplify right side
    310,572x = 447,100,846,336
  5. Step 5: Solve for x
    x = 447,100,846,336/310,572
  6. Step 6: Final answer
    x = 1,439,604.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.