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Finding the Third Proportional to 280,737.56 and 431,949.38

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Solution

The third proportional to 280,737.56 and 431,949.38 is: 664,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,737.56 : 431,949.38 = 431,949.38 : x
  2. Step 2: Convert to fraction form
    280,737.56/431,949.38 = 431,949.38/x
  3. Step 3: Cross multiply
    280,737.56x = 431,949.38 × 431,949.38
  4. Step 4: Simplify right side
    280,737.56x = 186,580,262,562.89
  5. Step 5: Solve for x
    x = 186,580,262,562.89/280,737.56
  6. Step 6: Final answer
    x = 664,607.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.