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Finding the Third Proportional to 306,386 and 459,903

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Solution

The third proportional to 306,386 and 459,903 is: 690,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,386 : 459,903 = 459,903 : x
  2. Step 2: Convert to fraction form
    306,386/459,903 = 459,903/x
  3. Step 3: Cross multiply
    306,386x = 459,903 × 459,903
  4. Step 4: Simplify right side
    306,386x = 211,510,769,409
  5. Step 5: Solve for x
    x = 211,510,769,409/306,386
  6. Step 6: Final answer
    x = 690,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.