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Finding the Third Proportional to 407,170 and 615,219

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Solution

The third proportional to 407,170 and 615,219 is: 929,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,170 : 615,219 = 615,219 : x
  2. Step 2: Convert to fraction form
    407,170/615,219 = 615,219/x
  3. Step 3: Cross multiply
    407,170x = 615,219 × 615,219
  4. Step 4: Simplify right side
    407,170x = 378,494,417,961
  5. Step 5: Solve for x
    x = 378,494,417,961/407,170
  6. Step 6: Final answer
    x = 929,573.44

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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.