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Finding the Third Proportional to 390,132 and 582,646

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Solution

The third proportional to 390,132 and 582,646 is: 870,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,132 : 582,646 = 582,646 : x
  2. Step 2: Convert to fraction form
    390,132/582,646 = 582,646/x
  3. Step 3: Cross multiply
    390,132x = 582,646 × 582,646
  4. Step 4: Simplify right side
    390,132x = 339,476,361,316
  5. Step 5: Solve for x
    x = 339,476,361,316/390,132
  6. Step 6: Final answer
    x = 870,157.69

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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.