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Finding the Third Proportional to 280,621 and 615,571

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Solution

The third proportional to 280,621 and 615,571 is: 1,350,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,621 : 615,571 = 615,571 : x
  2. Step 2: Convert to fraction form
    280,621/615,571 = 615,571/x
  3. Step 3: Cross multiply
    280,621x = 615,571 × 615,571
  4. Step 4: Simplify right side
    280,621x = 378,927,656,041
  5. Step 5: Solve for x
    x = 378,927,656,041/280,621
  6. Step 6: Final answer
    x = 1,350,318.24

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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.