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Finding the Third Proportional to 212,089.88 and 457,389.75

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Solution

The third proportional to 212,089.88 and 457,389.75 is: 986,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.88 : 457,389.75 = 457,389.75 : x
  2. Step 2: Convert to fraction form
    212,089.88/457,389.75 = 457,389.75/x
  3. Step 3: Cross multiply
    212,089.88x = 457,389.75 × 457,389.75
  4. Step 4: Simplify right side
    212,089.88x = 209,205,383,405.06
  5. Step 5: Solve for x
    x = 209,205,383,405.06/212,089.88
  6. Step 6: Final answer
    x = 986,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.