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Finding the Third Proportional to 310,653 and 670,234

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Solution

The third proportional to 310,653 and 670,234 is: 1,446,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,653 : 670,234 = 670,234 : x
  2. Step 2: Convert to fraction form
    310,653/670,234 = 670,234/x
  3. Step 3: Cross multiply
    310,653x = 670,234 × 670,234
  4. Step 4: Simplify right side
    310,653x = 449,213,614,756
  5. Step 5: Solve for x
    x = 449,213,614,756/310,653
  6. Step 6: Final answer
    x = 1,446,030.18

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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.