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Finding the Third Proportional to 308,896 and 676,840

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Solution

The third proportional to 308,896 and 676,840 is: 1,483,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,896 : 676,840 = 676,840 : x
  2. Step 2: Convert to fraction form
    308,896/676,840 = 676,840/x
  3. Step 3: Cross multiply
    308,896x = 676,840 × 676,840
  4. Step 4: Simplify right side
    308,896x = 458,112,385,600
  5. Step 5: Solve for x
    x = 458,112,385,600/308,896
  6. Step 6: Final answer
    x = 1,483,063.51

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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.