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Finding the Third Proportional to 505,125.50 and 784,250.50

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Solution

The third proportional to 505,125.50 and 784,250.50 is: 1,217,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,125.50 : 784,250.50 = 784,250.50 : x
  2. Step 2: Convert to fraction form
    505,125.50/784,250.50 = 784,250.50/x
  3. Step 3: Cross multiply
    505,125.50x = 784,250.50 × 784,250.50
  4. Step 4: Simplify right side
    505,125.50x = 615,048,846,750.25
  5. Step 5: Solve for x
    x = 615,048,846,750.25/505,125.50
  6. Step 6: Final answer
    x = 1,217,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.