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Finding the Third Proportional to 328,400 and 708,080

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Solution

The third proportional to 328,400 and 708,080 is: 1,526,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,400 : 708,080 = 708,080 : x
  2. Step 2: Convert to fraction form
    328,400/708,080 = 708,080/x
  3. Step 3: Cross multiply
    328,400x = 708,080 × 708,080
  4. Step 4: Simplify right side
    328,400x = 501,377,286,400
  5. Step 5: Solve for x
    x = 501,377,286,400/328,400
  6. Step 6: Final answer
    x = 1,526,727.43

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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.