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Finding the Third Proportional to 366,577.50 and 784,410.75

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Solution

The third proportional to 366,577.50 and 784,410.75 is: 1,678,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,577.50 : 784,410.75 = 784,410.75 : x
  2. Step 2: Convert to fraction form
    366,577.50/784,410.75 = 784,410.75/x
  3. Step 3: Cross multiply
    366,577.50x = 784,410.75 × 784,410.75
  4. Step 4: Simplify right side
    366,577.50x = 615,300,224,715.56
  5. Step 5: Solve for x
    x = 615,300,224,715.56/366,577.50
  6. Step 6: Final answer
    x = 1,678,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.