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Finding the Third Proportional to 280,376.50 and 615,035

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Solution

The third proportional to 280,376.50 and 615,035 is: 1,349,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.50 : 615,035 = 615,035 : x
  2. Step 2: Convert to fraction form
    280,376.50/615,035 = 615,035/x
  3. Step 3: Cross multiply
    280,376.50x = 615,035 × 615,035
  4. Step 4: Simplify right side
    280,376.50x = 378,268,051,225
  5. Step 5: Solve for x
    x = 378,268,051,225/280,376.50
  6. Step 6: Final answer
    x = 1,349,143.21

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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.