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Finding the Third Proportional to 427,711 and 597,964

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Solution

The third proportional to 427,711 and 597,964 is: 835,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,711 : 597,964 = 597,964 : x
  2. Step 2: Convert to fraction form
    427,711/597,964 = 597,964/x
  3. Step 3: Cross multiply
    427,711x = 597,964 × 597,964
  4. Step 4: Simplify right side
    427,711x = 357,560,945,296
  5. Step 5: Solve for x
    x = 357,560,945,296/427,711
  6. Step 6: Final answer
    x = 835,987.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.