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Finding the Third Proportional to 310,770 and 670,491

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Solution

The third proportional to 310,770 and 670,491 is: 1,446,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,770 : 670,491 = 670,491 : x
  2. Step 2: Convert to fraction form
    310,770/670,491 = 670,491/x
  3. Step 3: Cross multiply
    310,770x = 670,491 × 670,491
  4. Step 4: Simplify right side
    310,770x = 449,558,181,081
  5. Step 5: Solve for x
    x = 449,558,181,081/310,770
  6. Step 6: Final answer
    x = 1,446,594.53

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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.