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Finding the Third Proportional to 263,430 and 407,511

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Solution

The third proportional to 263,430 and 407,511 is: 630,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,430 : 407,511 = 407,511 : x
  2. Step 2: Convert to fraction form
    263,430/407,511 = 407,511/x
  3. Step 3: Cross multiply
    263,430x = 407,511 × 407,511
  4. Step 4: Simplify right side
    263,430x = 166,065,215,121
  5. Step 5: Solve for x
    x = 166,065,215,121/263,430
  6. Step 6: Final answer
    x = 630,395.99

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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.