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Finding the Third Proportional to 280,627 and 615,583

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Solution

The third proportional to 280,627 and 615,583 is: 1,350,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,627 : 615,583 = 615,583 : x
  2. Step 2: Convert to fraction form
    280,627/615,583 = 615,583/x
  3. Step 3: Cross multiply
    280,627x = 615,583 × 615,583
  4. Step 4: Simplify right side
    280,627x = 378,942,429,889
  5. Step 5: Solve for x
    x = 378,942,429,889/280,627
  6. Step 6: Final answer
    x = 1,350,342.02

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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.