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Finding the Third Proportional to 310,647 and 679,443

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Solution

The third proportional to 310,647 and 679,443 is: 1,486,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,647 : 679,443 = 679,443 : x
  2. Step 2: Convert to fraction form
    310,647/679,443 = 679,443/x
  3. Step 3: Cross multiply
    310,647x = 679,443 × 679,443
  4. Step 4: Simplify right side
    310,647x = 461,642,790,249
  5. Step 5: Solve for x
    x = 461,642,790,249/310,647
  6. Step 6: Final answer
    x = 1,486,068.72

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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.