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Finding the Third Proportional to 310,460 and 679,037

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Solution

The third proportional to 310,460 and 679,037 is: 1,485,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,460 : 679,037 = 679,037 : x
  2. Step 2: Convert to fraction form
    310,460/679,037 = 679,037/x
  3. Step 3: Cross multiply
    310,460x = 679,037 × 679,037
  4. Step 4: Simplify right side
    310,460x = 461,091,247,369
  5. Step 5: Solve for x
    x = 461,091,247,369/310,460
  6. Step 6: Final answer
    x = 1,485,187.29

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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.