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Finding the Third Proportional to 328,419 and 705,952

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Solution

The third proportional to 328,419 and 705,952 is: 1,517,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,419 : 705,952 = 705,952 : x
  2. Step 2: Convert to fraction form
    328,419/705,952 = 705,952/x
  3. Step 3: Cross multiply
    328,419x = 705,952 × 705,952
  4. Step 4: Simplify right side
    328,419x = 498,368,226,304
  5. Step 5: Solve for x
    x = 498,368,226,304/328,419
  6. Step 6: Final answer
    x = 1,517,476.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.