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Finding the Third Proportional to 457,978 and 670,560

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Solution

The third proportional to 457,978 and 670,560 is: 981,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,978 : 670,560 = 670,560 : x
  2. Step 2: Convert to fraction form
    457,978/670,560 = 670,560/x
  3. Step 3: Cross multiply
    457,978x = 670,560 × 670,560
  4. Step 4: Simplify right side
    457,978x = 449,650,713,600
  5. Step 5: Solve for x
    x = 449,650,713,600/457,978
  6. Step 6: Final answer
    x = 981,817.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.