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Finding the Third Proportional to 284,976 and 615,636

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Solution

The third proportional to 284,976 and 615,636 is: 1,329,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,976 : 615,636 = 615,636 : x
  2. Step 2: Convert to fraction form
    284,976/615,636 = 615,636/x
  3. Step 3: Cross multiply
    284,976x = 615,636 × 615,636
  4. Step 4: Simplify right side
    284,976x = 379,007,684,496
  5. Step 5: Solve for x
    x = 379,007,684,496/284,976
  6. Step 6: Final answer
    x = 1,329,963.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.