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Finding the Third Proportional to 459,086 and 615,729

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Solution

The third proportional to 459,086 and 615,729 is: 825,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,086 : 615,729 = 615,729 : x
  2. Step 2: Convert to fraction form
    459,086/615,729 = 615,729/x
  3. Step 3: Cross multiply
    459,086x = 615,729 × 615,729
  4. Step 4: Simplify right side
    459,086x = 379,122,201,441
  5. Step 5: Solve for x
    x = 379,122,201,441/459,086
  6. Step 6: Final answer
    x = 825,819.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.