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Finding the Third Proportional to 328,412 and 705,938

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Solution

The third proportional to 328,412 and 705,938 is: 1,517,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,412 : 705,938 = 705,938 : x
  2. Step 2: Convert to fraction form
    328,412/705,938 = 705,938/x
  3. Step 3: Cross multiply
    328,412x = 705,938 × 705,938
  4. Step 4: Simplify right side
    328,412x = 498,348,459,844
  5. Step 5: Solve for x
    x = 498,348,459,844/328,412
  6. Step 6: Final answer
    x = 1,517,449.00

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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.