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Finding the Third Proportional to 212,161.78 and 457,401.94

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Solution

The third proportional to 212,161.78 and 457,401.94 is: 986,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,161.78 : 457,401.94 = 457,401.94 : x
  2. Step 2: Convert to fraction form
    212,161.78/457,401.94 = 457,401.94/x
  3. Step 3: Cross multiply
    212,161.78x = 457,401.94 × 457,401.94
  4. Step 4: Simplify right side
    212,161.78x = 209,216,532,428.75
  5. Step 5: Solve for x
    x = 209,216,532,428.75/212,161.78
  6. Step 6: Final answer
    x = 986,117.91

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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.