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Finding the Third Proportional to 328,418 and 708,116

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Solution

The third proportional to 328,418 and 708,116 is: 1,526,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,418 : 708,116 = 708,116 : x
  2. Step 2: Convert to fraction form
    328,418/708,116 = 708,116/x
  3. Step 3: Cross multiply
    328,418x = 708,116 × 708,116
  4. Step 4: Simplify right side
    328,418x = 501,428,269,456
  5. Step 5: Solve for x
    x = 501,428,269,456/328,418
  6. Step 6: Final answer
    x = 1,526,798.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.