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Finding the Third Proportional to 295,814 and 451,389

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Solution

The third proportional to 295,814 and 451,389 is: 688,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,814 : 451,389 = 451,389 : x
  2. Step 2: Convert to fraction form
    295,814/451,389 = 451,389/x
  3. Step 3: Cross multiply
    295,814x = 451,389 × 451,389
  4. Step 4: Simplify right side
    295,814x = 203,752,029,321
  5. Step 5: Solve for x
    x = 203,752,029,321/295,814
  6. Step 6: Final answer
    x = 688,784.27

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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.