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Finding the Third Proportional to 314,976 and 676,608

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Solution

The third proportional to 314,976 and 676,608 is: 1,453,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,976 : 676,608 = 676,608 : x
  2. Step 2: Convert to fraction form
    314,976/676,608 = 676,608/x
  3. Step 3: Cross multiply
    314,976x = 676,608 × 676,608
  4. Step 4: Simplify right side
    314,976x = 457,798,385,664
  5. Step 5: Solve for x
    x = 457,798,385,664/314,976
  6. Step 6: Final answer
    x = 1,453,438.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.