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Finding the Third Proportional to 390,134 and 582,649

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Solution

The third proportional to 390,134 and 582,649 is: 870,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,134 : 582,649 = 582,649 : x
  2. Step 2: Convert to fraction form
    390,134/582,649 = 582,649/x
  3. Step 3: Cross multiply
    390,134x = 582,649 × 582,649
  4. Step 4: Simplify right side
    390,134x = 339,479,857,201
  5. Step 5: Solve for x
    x = 339,479,857,201/390,134
  6. Step 6: Final answer
    x = 870,162.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.