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Finding the Third Proportional to 263,462 and 408,709

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Solution

The third proportional to 263,462 and 408,709 is: 634,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,462 : 408,709 = 408,709 : x
  2. Step 2: Convert to fraction form
    263,462/408,709 = 408,709/x
  3. Step 3: Cross multiply
    263,462x = 408,709 × 408,709
  4. Step 4: Simplify right side
    263,462x = 167,043,046,681
  5. Step 5: Solve for x
    x = 167,043,046,681/263,462
  6. Step 6: Final answer
    x = 634,030.89

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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.