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Finding the Third Proportional to 328,401 and 718,524

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Solution

The third proportional to 328,401 and 718,524 is: 1,572,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,401 : 718,524 = 718,524 : x
  2. Step 2: Convert to fraction form
    328,401/718,524 = 718,524/x
  3. Step 3: Cross multiply
    328,401x = 718,524 × 718,524
  4. Step 4: Simplify right side
    328,401x = 516,276,738,576
  5. Step 5: Solve for x
    x = 516,276,738,576/328,401
  6. Step 6: Final answer
    x = 1,572,092.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.