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Finding the Third Proportional to 577,050.75 and 905,188.50

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Solution

The third proportional to 577,050.75 and 905,188.50 is: 1,419,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,050.75 : 905,188.50 = 905,188.50 : x
  2. Step 2: Convert to fraction form
    577,050.75/905,188.50 = 905,188.50/x
  3. Step 3: Cross multiply
    577,050.75x = 905,188.50 × 905,188.50
  4. Step 4: Simplify right side
    577,050.75x = 819,366,220,532.25
  5. Step 5: Solve for x
    x = 819,366,220,532.25/577,050.75
  6. Step 6: Final answer
    x = 1,419,920.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.