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Finding the Third Proportional to 280,476 and 615,384

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Solution

The third proportional to 280,476 and 615,384 is: 1,350,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476 : 615,384 = 615,384 : x
  2. Step 2: Convert to fraction form
    280,476/615,384 = 615,384/x
  3. Step 3: Cross multiply
    280,476x = 615,384 × 615,384
  4. Step 4: Simplify right side
    280,476x = 378,697,467,456
  5. Step 5: Solve for x
    x = 378,697,467,456/280,476
  6. Step 6: Final answer
    x = 1,350,195.62

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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.