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Finding the Third Proportional to 442,540 and 670,497

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Solution

The third proportional to 442,540 and 670,497 is: 1,015,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,540 : 670,497 = 670,497 : x
  2. Step 2: Convert to fraction form
    442,540/670,497 = 670,497/x
  3. Step 3: Cross multiply
    442,540x = 670,497 × 670,497
  4. Step 4: Simplify right side
    442,540x = 449,566,227,009
  5. Step 5: Solve for x
    x = 449,566,227,009/442,540
  6. Step 6: Final answer
    x = 1,015,877.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.