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Finding the Third Proportional to 328,419 and 708,111

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Solution

The third proportional to 328,419 and 708,111 is: 1,526,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,419 : 708,111 = 708,111 : x
  2. Step 2: Convert to fraction form
    328,419/708,111 = 708,111/x
  3. Step 3: Cross multiply
    328,419x = 708,111 × 708,111
  4. Step 4: Simplify right side
    328,419x = 501,421,188,321
  5. Step 5: Solve for x
    x = 501,421,188,321/328,419
  6. Step 6: Final answer
    x = 1,526,772.78

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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.