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Finding the Third Proportional to 278,523.56 and 376,113.38

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Solution

The third proportional to 278,523.56 and 376,113.38 is: 507,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523.56 : 376,113.38 = 376,113.38 : x
  2. Step 2: Convert to fraction form
    278,523.56/376,113.38 = 376,113.38/x
  3. Step 3: Cross multiply
    278,523.56x = 376,113.38 × 376,113.38
  4. Step 4: Simplify right side
    278,523.56x = 141,461,270,853.89
  5. Step 5: Solve for x
    x = 141,461,270,853.89/278,523.56
  6. Step 6: Final answer
    x = 507,896.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.