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Finding the Third Proportional to 310,861 and 670,727

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Solution

The third proportional to 310,861 and 670,727 is: 1,447,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,861 : 670,727 = 670,727 : x
  2. Step 2: Convert to fraction form
    310,861/670,727 = 670,727/x
  3. Step 3: Cross multiply
    310,861x = 670,727 × 670,727
  4. Step 4: Simplify right side
    310,861x = 449,874,708,529
  5. Step 5: Solve for x
    x = 449,874,708,529/310,861
  6. Step 6: Final answer
    x = 1,447,189.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.