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Finding the Third Proportional to 407,184 and 615,240

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Solution

The third proportional to 407,184 and 615,240 is: 929,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,184 : 615,240 = 615,240 : x
  2. Step 2: Convert to fraction form
    407,184/615,240 = 615,240/x
  3. Step 3: Cross multiply
    407,184x = 615,240 × 615,240
  4. Step 4: Simplify right side
    407,184x = 378,520,257,600
  5. Step 5: Solve for x
    x = 378,520,257,600/407,184
  6. Step 6: Final answer
    x = 929,604.94

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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.