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Finding the Third Proportional to 561,289.50 and 862,690.50

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Solution

The third proportional to 561,289.50 and 862,690.50 is: 1,325,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,289.50 : 862,690.50 = 862,690.50 : x
  2. Step 2: Convert to fraction form
    561,289.50/862,690.50 = 862,690.50/x
  3. Step 3: Cross multiply
    561,289.50x = 862,690.50 × 862,690.50
  4. Step 4: Simplify right side
    561,289.50x = 744,234,898,790.25
  5. Step 5: Solve for x
    x = 744,234,898,790.25/561,289.50
  6. Step 6: Final answer
    x = 1,325,937.68

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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.