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Finding the Third Proportional to 619,378.50 and 905,167.50

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Solution

The third proportional to 619,378.50 and 905,167.50 is: 1,322,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,378.50 : 905,167.50 = 905,167.50 : x
  2. Step 2: Convert to fraction form
    619,378.50/905,167.50 = 905,167.50/x
  3. Step 3: Cross multiply
    619,378.50x = 905,167.50 × 905,167.50
  4. Step 4: Simplify right side
    619,378.50x = 819,328,203,056.25
  5. Step 5: Solve for x
    x = 819,328,203,056.25/619,378.50
  6. Step 6: Final answer
    x = 1,322,823.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.