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Finding the Third Proportional to 310,454 and 679,025

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Solution

The third proportional to 310,454 and 679,025 is: 1,485,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,454 : 679,025 = 679,025 : x
  2. Step 2: Convert to fraction form
    310,454/679,025 = 679,025/x
  3. Step 3: Cross multiply
    310,454x = 679,025 × 679,025
  4. Step 4: Simplify right side
    310,454x = 461,074,950,625
  5. Step 5: Solve for x
    x = 461,074,950,625/310,454
  6. Step 6: Final answer
    x = 1,485,163.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.