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Finding the Third Proportional to 328,417 and 705,948

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Solution

The third proportional to 328,417 and 705,948 is: 1,517,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,417 : 705,948 = 705,948 : x
  2. Step 2: Convert to fraction form
    328,417/705,948 = 705,948/x
  3. Step 3: Cross multiply
    328,417x = 705,948 × 705,948
  4. Step 4: Simplify right side
    328,417x = 498,362,578,704
  5. Step 5: Solve for x
    x = 498,362,578,704/328,417
  6. Step 6: Final answer
    x = 1,517,468.88

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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.