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Finding the Third Proportional to 280,651.50 and 432,049.50

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Solution

The third proportional to 280,651.50 and 432,049.50 is: 665,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,651.50 : 432,049.50 = 432,049.50 : x
  2. Step 2: Convert to fraction form
    280,651.50/432,049.50 = 432,049.50/x
  3. Step 3: Cross multiply
    280,651.50x = 432,049.50 × 432,049.50
  4. Step 4: Simplify right side
    280,651.50x = 186,666,770,450.25
  5. Step 5: Solve for x
    x = 186,666,770,450.25/280,651.50
  6. Step 6: Final answer
    x = 665,119.45

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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.