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Finding the Third Proportional to 431,707.50 and 603,859.50

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Solution

The third proportional to 431,707.50 and 603,859.50 is: 844,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,707.50 : 603,859.50 = 603,859.50 : x
  2. Step 2: Convert to fraction form
    431,707.50/603,859.50 = 603,859.50/x
  3. Step 3: Cross multiply
    431,707.50x = 603,859.50 × 603,859.50
  4. Step 4: Simplify right side
    431,707.50x = 364,646,295,740.25
  5. Step 5: Solve for x
    x = 364,646,295,740.25/431,707.50
  6. Step 6: Final answer
    x = 844,660.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.