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Finding the Third Proportional to 308,640 and 676,368

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Solution

The third proportional to 308,640 and 676,368 is: 1,482,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,640 : 676,368 = 676,368 : x
  2. Step 2: Convert to fraction form
    308,640/676,368 = 676,368/x
  3. Step 3: Cross multiply
    308,640x = 676,368 × 676,368
  4. Step 4: Simplify right side
    308,640x = 457,473,671,424
  5. Step 5: Solve for x
    x = 457,473,671,424/308,640
  6. Step 6: Final answer
    x = 1,482,224.18

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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.