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Finding the Third Proportional to 310,768 and 679,856

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Solution

The third proportional to 310,768 and 679,856 is: 1,487,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,768 : 679,856 = 679,856 : x
  2. Step 2: Convert to fraction form
    310,768/679,856 = 679,856/x
  3. Step 3: Cross multiply
    310,768x = 679,856 × 679,856
  4. Step 4: Simplify right side
    310,768x = 462,204,180,736
  5. Step 5: Solve for x
    x = 462,204,180,736/310,768
  6. Step 6: Final answer
    x = 1,487,296.57

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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.