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Finding the Third Proportional to 328,449 and 708,171

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Solution

The third proportional to 328,449 and 708,171 is: 1,526,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,449 : 708,171 = 708,171 : x
  2. Step 2: Convert to fraction form
    328,449/708,171 = 708,171/x
  3. Step 3: Cross multiply
    328,449x = 708,171 × 708,171
  4. Step 4: Simplify right side
    328,449x = 501,506,165,241
  5. Step 5: Solve for x
    x = 501,506,165,241/328,449
  6. Step 6: Final answer
    x = 1,526,892.04

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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.