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Finding the Third Proportional to 407,168 and 615,216

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Solution

The third proportional to 407,168 and 615,216 is: 929,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,168 : 615,216 = 615,216 : x
  2. Step 2: Convert to fraction form
    407,168/615,216 = 615,216/x
  3. Step 3: Cross multiply
    407,168x = 615,216 × 615,216
  4. Step 4: Simplify right side
    407,168x = 378,490,726,656
  5. Step 5: Solve for x
    x = 378,490,726,656/407,168
  6. Step 6: Final answer
    x = 929,568.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.