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Finding the Third Proportional to 263,156 and 407,309

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Solution

The third proportional to 263,156 and 407,309 is: 630,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,156 : 407,309 = 407,309 : x
  2. Step 2: Convert to fraction form
    263,156/407,309 = 407,309/x
  3. Step 3: Cross multiply
    263,156x = 407,309 × 407,309
  4. Step 4: Simplify right side
    263,156x = 165,900,621,481
  5. Step 5: Solve for x
    x = 165,900,621,481/263,156
  6. Step 6: Final answer
    x = 630,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.