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Finding the Third Proportional to 477,439.88 and 690,461.44

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Solution

The third proportional to 477,439.88 and 690,461.44 is: 998,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,439.88 : 690,461.44 = 690,461.44 : x
  2. Step 2: Convert to fraction form
    477,439.88/690,461.44 = 690,461.44/x
  3. Step 3: Cross multiply
    477,439.88x = 690,461.44 × 690,461.44
  4. Step 4: Simplify right side
    477,439.88x = 476,736,996,674.57
  5. Step 5: Solve for x
    x = 476,736,996,674.57/477,439.88
  6. Step 6: Final answer
    x = 998,527.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.