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Finding the Third Proportional to 313,076 and 677,200

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Solution

The third proportional to 313,076 and 677,200 is: 1,464,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,076 : 677,200 = 677,200 : x
  2. Step 2: Convert to fraction form
    313,076/677,200 = 677,200/x
  3. Step 3: Cross multiply
    313,076x = 677,200 × 677,200
  4. Step 4: Simplify right side
    313,076x = 458,599,840,000
  5. Step 5: Solve for x
    x = 458,599,840,000/313,076
  6. Step 6: Final answer
    x = 1,464,819.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.