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Finding the Third Proportional to 310,751 and 676,856

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Solution

The third proportional to 310,751 and 676,856 is: 1,474,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,751 : 676,856 = 676,856 : x
  2. Step 2: Convert to fraction form
    310,751/676,856 = 676,856/x
  3. Step 3: Cross multiply
    310,751x = 676,856 × 676,856
  4. Step 4: Simplify right side
    310,751x = 458,134,044,736
  5. Step 5: Solve for x
    x = 458,134,044,736/310,751
  6. Step 6: Final answer
    x = 1,474,280.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.