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Finding the Third Proportional to 500,417 and 774,561

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Solution

The third proportional to 500,417 and 774,561 is: 1,198,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,417 : 774,561 = 774,561 : x
  2. Step 2: Convert to fraction form
    500,417/774,561 = 774,561/x
  3. Step 3: Cross multiply
    500,417x = 774,561 × 774,561
  4. Step 4: Simplify right side
    500,417x = 599,944,742,721
  5. Step 5: Solve for x
    x = 599,944,742,721/500,417
  6. Step 6: Final answer
    x = 1,198,889.61

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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.