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Finding the Third Proportional to 356,365 and 718,561

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Solution

The third proportional to 356,365 and 718,561 is: 1,448,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,365 : 718,561 = 718,561 : x
  2. Step 2: Convert to fraction form
    356,365/718,561 = 718,561/x
  3. Step 3: Cross multiply
    356,365x = 718,561 × 718,561
  4. Step 4: Simplify right side
    356,365x = 516,329,910,721
  5. Step 5: Solve for x
    x = 516,329,910,721/356,365
  6. Step 6: Final answer
    x = 1,448,879.41

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.