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Finding the Third Proportional to 310,490 and 679,096

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Solution

The third proportional to 310,490 and 679,096 is: 1,485,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,490 : 679,096 = 679,096 : x
  2. Step 2: Convert to fraction form
    310,490/679,096 = 679,096/x
  3. Step 3: Cross multiply
    310,490x = 679,096 × 679,096
  4. Step 4: Simplify right side
    310,490x = 461,171,377,216
  5. Step 5: Solve for x
    x = 461,171,377,216/310,490
  6. Step 6: Final answer
    x = 1,485,301.87

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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.