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Finding the Third Proportional to 306,050 and 459,077

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Solution

The third proportional to 306,050 and 459,077 is: 688,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,050 : 459,077 = 459,077 : x
  2. Step 2: Convert to fraction form
    306,050/459,077 = 459,077/x
  3. Step 3: Cross multiply
    306,050x = 459,077 × 459,077
  4. Step 4: Simplify right side
    306,050x = 210,751,691,929
  5. Step 5: Solve for x
    x = 210,751,691,929/306,050
  6. Step 6: Final answer
    x = 688,618.50

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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.