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Finding the Third Proportional to 310,481 and 670,786

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Solution

The third proportional to 310,481 and 670,786 is: 1,449,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,481 : 670,786 = 670,786 : x
  2. Step 2: Convert to fraction form
    310,481/670,786 = 670,786/x
  3. Step 3: Cross multiply
    310,481x = 670,786 × 670,786
  4. Step 4: Simplify right side
    310,481x = 449,953,857,796
  5. Step 5: Solve for x
    x = 449,953,857,796/310,481
  6. Step 6: Final answer
    x = 1,449,215.44

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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.