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Finding the Third Proportional to 428,560.88 and 678,030.75

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Solution

The third proportional to 428,560.88 and 678,030.75 is: 1,072,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,560.88 : 678,030.75 = 678,030.75 : x
  2. Step 2: Convert to fraction form
    428,560.88/678,030.75 = 678,030.75/x
  3. Step 3: Cross multiply
    428,560.88x = 678,030.75 × 678,030.75
  4. Step 4: Simplify right side
    428,560.88x = 459,725,697,945.56
  5. Step 5: Solve for x
    x = 459,725,697,945.56/428,560.88
  6. Step 6: Final answer
    x = 1,072,719.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.