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Finding the Third Proportional to 278,156.25 and 397,389.38

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Solution

The third proportional to 278,156.25 and 397,389.38 is: 567,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,156.25 : 397,389.38 = 397,389.38 : x
  2. Step 2: Convert to fraction form
    278,156.25/397,389.38 = 397,389.38/x
  3. Step 3: Cross multiply
    278,156.25x = 397,389.38 × 397,389.38
  4. Step 4: Simplify right side
    278,156.25x = 157,918,315,362.89
  5. Step 5: Solve for x
    x = 157,918,315,362.89/278,156.25
  6. Step 6: Final answer
    x = 567,732.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.