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Finding the Third Proportional to 295,812 and 451,386

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Solution

The third proportional to 295,812 and 451,386 is: 688,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,812 : 451,386 = 451,386 : x
  2. Step 2: Convert to fraction form
    295,812/451,386 = 451,386/x
  3. Step 3: Cross multiply
    295,812x = 451,386 × 451,386
  4. Step 4: Simplify right side
    295,812x = 203,749,320,996
  5. Step 5: Solve for x
    x = 203,749,320,996/295,812
  6. Step 6: Final answer
    x = 688,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.