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Finding the Third Proportional to 212,722.50 and 457,701

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Solution

The third proportional to 212,722.50 and 457,701 is: 984,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,722.50 : 457,701 = 457,701 : x
  2. Step 2: Convert to fraction form
    212,722.50/457,701 = 457,701/x
  3. Step 3: Cross multiply
    212,722.50x = 457,701 × 457,701
  4. Step 4: Simplify right side
    212,722.50x = 209,490,205,401
  5. Step 5: Solve for x
    x = 209,490,205,401/212,722.50
  6. Step 6: Final answer
    x = 984,805.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.