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Finding the Third Proportional to 308,664 and 676,416

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Solution

The third proportional to 308,664 and 676,416 is: 1,482,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,664 : 676,416 = 676,416 : x
  2. Step 2: Convert to fraction form
    308,664/676,416 = 676,416/x
  3. Step 3: Cross multiply
    308,664x = 676,416 × 676,416
  4. Step 4: Simplify right side
    308,664x = 457,538,605,056
  5. Step 5: Solve for x
    x = 457,538,605,056/308,664
  6. Step 6: Final answer
    x = 1,482,319.30

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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.