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Finding the Third Proportional to 280,622 and 615,572

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Solution

The third proportional to 280,622 and 615,572 is: 1,350,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622 : 615,572 = 615,572 : x
  2. Step 2: Convert to fraction form
    280,622/615,572 = 615,572/x
  3. Step 3: Cross multiply
    280,622x = 615,572 × 615,572
  4. Step 4: Simplify right side
    280,622x = 378,928,887,184
  5. Step 5: Solve for x
    x = 378,928,887,184/280,622
  6. Step 6: Final answer
    x = 1,350,317.82

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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.