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Finding the Third Proportional to 327,830 and 708,148

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Solution

The third proportional to 327,830 and 708,148 is: 1,529,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,830 : 708,148 = 708,148 : x
  2. Step 2: Convert to fraction form
    327,830/708,148 = 708,148/x
  3. Step 3: Cross multiply
    327,830x = 708,148 × 708,148
  4. Step 4: Simplify right side
    327,830x = 501,473,589,904
  5. Step 5: Solve for x
    x = 501,473,589,904/327,830
  6. Step 6: Final answer
    x = 1,529,675.72

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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.