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Finding the Third Proportional to 308,880 and 676,808

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Solution

The third proportional to 308,880 and 676,808 is: 1,483,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,880 : 676,808 = 676,808 : x
  2. Step 2: Convert to fraction form
    308,880/676,808 = 676,808/x
  3. Step 3: Cross multiply
    308,880x = 676,808 × 676,808
  4. Step 4: Simplify right side
    308,880x = 458,069,068,864
  5. Step 5: Solve for x
    x = 458,069,068,864/308,880
  6. Step 6: Final answer
    x = 1,483,000.09

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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.